A023947 Expansion of 1/((1-x)(1-5x)(1-10x)(1-12x)).

1, 28, 527, 8390, 122121, 1683768, 22407907, 291019450, 3713967341, 46787388908, 583658682087, 7226065372110, 88934701511761, 1089437114484448, 13295459966641067, 161767703674942370

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (28,-257,830,-600).

Formula

a(n) = (90*12^(n+3) - 154*10^(n+3) + 99*5^(n+3) - 35)/13860. [Yahia Kahloune, Jun 27 2013]

a(0)=1, a(1)=28, a(2)=527, a(3)=8390; for n>3, a(n) = 28*a(n-1) -257*a(n-2) +830*a(n-3) -600*a(n-4). - Vincenzo Librandi, Jul 12 2013

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 5 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 12 2013 *)

Prog

(Magma) I:=[1, 28, 527, 8390]; [n le 4 select I[n] else 28*Self(n-1)-257*Self(n-2)+830*Self(n-3)-600*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-10*x)*(1-12*x)))); // Vincenzo Librandi, Jul 12 2013

Crossrefs

Sequence in context: A025984 A020977 A020973 * A020972 A025957 A020758

Adjacent sequences: A023944 A023945 A023946 * A023948 A023949 A023950

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved