■初等関数研究村■

[過去ﾛｸﾞ] ■初等関数研究村■ (606ﾚｽ)
上下前次 1-新

このｽﾚｯﾄﾞは過去ﾛｸﾞ倉庫に格納されています｡
次ｽﾚ検索歴削→次ｽﾚ栞削→次ｽﾚ過去ﾛｸﾞﾒﾆｭｰ

21(1): 2019/06/15(土)23:04 ID:IIziHdYA(21/23) AAS
■8x9マス長軸テーブル外せば出力可能

sum[C(2n-1+C(0,3mod n)+C(0,n-6 mod15)+C(0,n-10 mod18)+C(0,n-15)-C(0,n-5 mod22)-3C(0,n-9)-3C(1,n-13)-7C(0,n-20)-C(1,n-23)-C(1,n-25),k-1),{n,1,35}],k=16

1399743796844505

>>20
8 * 9 [16] : 1399743796844505

22: 2019/06/15(土)23:06 ID:IIziHdYA(22/23) AAS
k=26,　　　　6854100615782599621

8 * 9 [26] : 6854100615782599680

23: 2019/06/15(土)23:08 ID:IIziHdYA(23/23) AAS
Table[sum[C(2n-1+α,k-1),{n,1,a}],{k,1,b}]

a=n(n+1)/2-1　
b=n(n+1)

を満たす差分追尾数列αを見つけてくれ〜(・ω・)ノ

24: 2019/06/16(日)09:55 ID:v/YL6uW0(1/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

25: 2019/06/16(日)09:56 ID:v/YL6uW0(2/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

26: 2019/06/16(日)09:56 ID:v/YL6uW0(3/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

27: 2019/06/16(日)09:57 ID:v/YL6uW0(4/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

28: 2019/06/16(日)09:57 ID:v/YL6uW0(5/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

29: 2019/06/16(日)09:58 ID:v/YL6uW0(6/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

30: 2019/06/16(日)09:58 ID:v/YL6uW0(7/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

31: 2019/06/16(日)09:59 ID:v/YL6uW0(8/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

32: 2019/06/16(日)09:59 ID:v/YL6uW0(9/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

33: 2019/06/16(日)10:00 ID:v/YL6uW0(10/10) AAS
0qc3OXjXwBt1HD7Mt228BdYw7VinFEl43Zoc9tkhSu6hmEi1WEZ6OqB3FSe3k7L0qXrj8fNHrzBhhPTzD8WhAjrDXv1k55mQkf5uiOqjKuWUGgYFZuNZUagqAX9wNZzwaH4BlgoDtLscwycAwYQ7tuMa9CoGneWU5TXTTYEhxrUUJB0qmsR19UqgNcuwuN3oX8QyXNG
43bDtYxhwTZApiRugaYbzsFfDKZmuR212sTlb3HrYDe9jytaLBgeojHWZxPkzLDqO3djDHR4YEE7wySKMFA1WfilujRqD7izkWmcUWhFiRZrxFJAByshrPMNynEJEpGtdOg7Qx1jjMcB2nGphazIOhgkUuKFgGIiMh65hqcNYbtLdSVeTIncn2bR8pUncW95wGWymgC0
J8hGG9KXTgycc8wu65xqHO4p5z5oqxLBQRZuY5NdFK6pM1UaaUzIAlBvvWS49LKCsiIbUDX0KKFIWjAdkRpo4aZkTjXtlBABqjBeDgeH64Kv8QRCkv4NklJWJU6uagXQG8uqws2ZLhzyEs04D6ycyNc9s3LAeDaywG9mQ3jlBFhHE7ba2qlDJlN9ixypMXRleRQZWryk
5f1wRmcZzXXh9xqvyHtHqtXG06b6iQ5OhfrAUZwU8Scwkh52X7iNRot4vwSfMrmjYoGlVIvhK9djdlkiGy03ly9O6SmKKfkBYZJCK8zLNCJux0nBGVJWVe90kIjRFBTCjOfe11bfeVXfLUM9mLp0zyFrfY4a1dC7nS9pShB2iDxRGp6Vn2SlReeXnc6mqJ6KfhY9L8gR
G1SMJQYyXNSnrSkV2JyMHPsH4umT9610YnFgDQnLn67betRIHPmdDewhiu5kGTYKxytAxhC1qJPuOVRw5q7ZpELCBwYEixZs6kmHkla4fdAZ5HQw7xnySrJ28cGOloZuerh0QEG6xb3JxuzHxFGdBWtgEy5decyx9iZpMlo5QVT14hFNLnp0zlcAGUfEdxAMjUP3lHkv
UHzFXQXLWlU2JyYfOkcUjg40eeXu8e77qS4rgvjHWwxRbA1IKsNmn3CR9ePAuumjHnrWXeVuNStOENI4pHd7a7EwvoL8D7oenfbfeVoMT4Jho808YluyiYSEkfV5E6qPA5SiIWgl3G2zIc1NGsEW0nQuGTP504IXiRebMTKIEZyBdIqgQg1tOUYg7LzaYKiKixwj59ph
cILXg6ToA2TskeIlZraUTbzQ5PkR9lGnJjBFN7aSfv8vkCEpe9hYmrfF47H0RcNX5k3Y3i5xgHKhiNu5T8GeXfcYWpG6eLzIDAFy8DF39cqoofzCDnk8Ogt5q2H4cQNTgsDQDYYmFl2kKkYeX6CZ9LQruT8LprERVMyn0lUCYqfO4sQqWCu8kiVnpdZgd9QqdVcOT639
SDK4t8ql63OVBPRjJe2DvhC0BHjXErI2RCeGdMeBPD539aNqdFVIPGHN1NIVVDyTM4gfJbnFDgC5slKjSO17coT9jUfpOvezlHg9lXM95eftZiKzTx36T6C88TnssEI0tM3SKlDidfP9neTR3feD1cDGkYAzaPDCjyD4a2OcqNChan0XweFrq0xqQYc6Oi6am5DWfurQ
Kvr3idZa3OUlonClNyGyT3u2Xrtde47Cr6m4tG1j7AurlCjmUXvLPaQDQLlhymjaNIkWblKiKeVhk601XohEk7mNq3FyXjLGTJjx4csGI9MHt9vijbaaAQMFGIi8A28SQA1Ie3oELhvKeuLzK9ZYmGMEVqj4GtOgB719u1e1KHHqpfnGgwmMFMpRTjoTrEl4f9KFathh
kjasjfkajkljfklajjfjksdjksjalkjflkjasjfkjasjfkjajjs2333354994998989029929050295895028902802058299202095898582982092029209029029
省1

34: 2019/06/16(日)14:23 ID:EELeRVzV(1/32) AAS
※前スレ

■初等関数研究所■
2chｽﾚ:math

35: 2019/06/16(日)14:30 ID:EELeRVzV(2/32) AAS
2 3 6 7 9
2 3 6 7 8 12 13 15 17
2 3 6 7 8 12 13 14 16 20 21 23 25 27
2 3 6 7 8 12 13 14 15 20 21 22 24 26 30 31 33 35 37 39
2 3 6 7 8 12 13 14 15 20 21 22 23 25 30 31 32 34 36 38 42 43 45 47 49 51 53

長軸choose数え上げ

36: 2019/06/16(日)14:32 ID:EELeRVzV(3/32) AAS
□■■■■■■■■■■■■■■
□□■■■■■■■■■■■■■
□□□■■■■■■■■■■■■
□□□□■■■■■■■■■■■
□□□□□■■■■■■■■■■
□□□□□□■■■■■■■■■
□□□□□□□■■■■■■■■
□□□□□□□□■■■■■■■
□□□□□□□□□■■■■■■
□□□□□□□□□□■■■■■
省4

37: 2019/06/16(日)14:34 ID:EELeRVzV(4/32) AAS
2n x 2n の正方形を
1 x 2 のドミノで埋める場合の数を考えます

たとえば、2x2の正方形を1x2のドミノで埋める場合の数は、2通りです

4x4の正方形を1x2のドミノで埋める場合の数は、36通りです

一般に、n=0,1,2,3,,,,のとき、
1, 2, 36, 6728, 12988816, 258584046368,,,
となり、一般項は、

Π[j=1 to n]Π[k=1 to n]{4cos^2 πj/(2n+1)+4cos^2 πk/(2n+1)}
省2

38: 2019/06/16(日)14:35 ID:EELeRVzV(5/32) AAS
wikipedia
https://en.wikipedia.org/wiki/Domino_tiling
によると
Temperley & Fisher (1961) and Kasteleyn (1961)
によって独立に発見されたとある
多分元論文は
Temperley, H. N. V.; Fisher, Michael E. (1961),
"Dimer problem in statistical mechanics-an exact result",
Philosophical Magazine, 6 (68): 1061-1063, doi:10.1080/14786436108243366

Kasteleyn, P. W. (1961), "The statistics of dimers on a lattice. I.
省3

39: 2019/06/16(日)14:35 ID:EELeRVzV(6/32) AAS
これに証明載ってるかも
https://inis.iaea.org/collection/NCLCollectionStore/_Public/38/098/38098203.pdf?r=1&r=1

Section2
A famous result of Kasteleyn [8] and Temperley and Fisher [18] counts the
number of domino tilings of a chessboard (or any other rectangular region).
In this section we explain Kasteleyn's proof.

「ドミノによるタイル張り」(京大･理)　36p.
http://www.ms.u-tokyo.ac.jp/~kazushi/proceedings/domino.pdf

「長方形領域のドミノタイル張りについて」(青学大･理工)　17p.
http://www.gem.aoyama.ac.jp/~kyo/sotsuken/2010/fujino_sotsuron_2010.pdf

40: 2019/06/16(日)14:37 ID:EELeRVzV(7/32) AAS
■ドミノタイリング
https://ja.wikipedia.org/wiki/%E3%83%89%E3%83%9F%E3%83%8E%E3%82%BF%E3%82%A4%E3%83%AA%E3%83%B3%E3%82%B0

■Die Kasteleyn-Fisher-Temperley-Formel fur die Anzahl der Domino ...
http://oops.uni-oldenburg.de/1773/1/Bachelorarbeit%20von%20Ina%20Lammers.pdf

上下前次 1-新書関写板覧索設栞歴

あと 566 ﾚｽあります
ｽﾚ情報赤ﾚｽ抽出画像ﾚｽ抽出歴の未読ｽﾚ AAｻﾑﾈｲﾙ

ぬこの手ぬこTOP 0.254s*