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 A123187 Triangle of coefficients in expansion of (1+13x)^n. 1
 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; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA p(k, x) = (13*x + 1)*p(k - 1, x) T(n,k)=13^k*binomial(n,k)=sum_{i=n-k..n} binomial(i,n-k)*binomial(n,i)*12^(n-i). Row sums are 14^n = A001023. G.f.: 1 / [1 - x(1+13y)]. [From Mircea Merca, Apr 28 2012] EXAMPLE 1 1, 13 1, 26, 169 1, 39, 507, 2197 1, 52, 1014, 8788, 28561 1, 65, 1690, 21970, 142805, 371293 MATHEMATICA 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] CROSSREFS Cf. A013609, A013610, A013611, A013621, A038220, A038222. Sequence in context: A037283 A094709 A040181 * A046733 A120392 A133371 Adjacent sequences:  A123184 A123185 A123186 * A123188 A123189 A123190 KEYWORD nonn,tabl AUTHOR Roger L. Bagula and Gary W. Adamson, Oct 03 2006 STATUS approved

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