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Search: id:A136161
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| A136161 |
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A Pell recurrences family: a(n) = k*a(n-1) + (5-2k)*a(n-2) + (2-k)*a(n-3). Starting from 0, 1, 2 every k gives A000129. Right side, k nonnegative;k = 0: a(n) = 5a(n-2) + 2a(n-3), A112685, A135138, A135139, A135949, k = 1: a(n) = a(n-1) + 3a(n-2) + a(n-3), A097076, k = 2, a(n) = 2a(n-1) + a(n-2), Pell himself, A000129, A001333, k = 3: 3a(n-1)-a(n-2)-a(n-3), A024537, A048739, k = 4: 4a(n-1)-3a(n-2)-2(n-3), A094706, k = 5: a(n) = 5a(n-1)-5a(n-2)-3a(n-3), A137212, A137213, k = 6: a(n) = 6a(n-1)-7a(n-2)-4a(n-3). |
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| 0, 5, 2, 1, 3, 1, 2, 1, 0, 3, -1, -1, 4, -3, -2, 5, -5, -3, 6, -7, -4, 7, -9, -5
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