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Search: id:A123187
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| A123187 |
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Triangle of coefficients in expansion of (1+13x)^n. |
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+0
2
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| 1, 1, 13, 1, 26, 169, 1, 39, 507, 2197, 1, 52, 1014, 8788, 28561, 1, 65, 1690, 21970, 142805, 371293, 1, 78, 2535, 43940, 428415, 2227758, 4826809, 1, 91, 3549, 76895, 999635, 7797153, 33787663, 62748517, 1, 104, 4732, 123032, 1999270, 20792408
(list; table; graph; listen)
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OFFSET
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1,3
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FORMULA
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p(k, x) = (13*x + 1)*p(k - 1, x)
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EXAMPLE
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1
1, 13
1, 26, 169
1, 39, 507, 2197
1, 52, 1014, 8788, 28561
1, 65, 1690, 21970, 142805, 371293
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MATHEMATICA
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p[0, x] = 1; p[1, x] = 13*x + 1; p[k_, x_] := p[k, x] = (13*x + 1)*p[k - 1, x]; w = Table[CoefficientList[p[n, x], x], {n, 0, 10}]; Flatten[w]
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CROSSREFS
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Cf. A013609, A013610, A013611, A013621, A038220, A038222.
Sequence in context: A037283 A094709 A040181 this_sequence A046733 A120392 A133371
Adjacent sequences: A123184 A123185 A123186 this_sequence A123188 A123189 A123190
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Oct 03 2006
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