A021794 Expansion of 1/((1-x)(1-4x)(1-5x)(1-12x)).

1, 22, 335, 4460, 56061, 686802, 8317435, 100210120, 1204613321, 14466168782, 173649468135, 2084076423780, 25010353485781, 300131513309962, 3601614875036435, 43219563508677440, 518635692871953441

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22,-149,368,-240).

Formula

G.f.: 1/((1-x)*(1-4*x)*(1-5*x)*(1-12*x)).

a(n) = -1/132 +2^(2n+3)/3 -5^(n+3)/28 +2^(2n+3)*3^(n+3)/77. - Bruno Berselli, May 08 2013

a(n) = 22*a(n-1) - 149*a(n-2) + 368*a(n-3) - 240*a(n-4). - Wesley Ivan Hurt, Apr 12 2023

Mathematica

CoefficientList[Series[1/((1-x) (1-4 x) (1-5 x) (1-12 x)), {x, 0, 20}], x] (* Bruno Berselli, May 08 2013 *)

Prog

(PARI) Vec(1/((1-x)*(1-4*x)*(1-5*x)*(1-12*x))+O(x^20)) \\ Bruno Berselli, May 08 2013
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-4*x)*(1-5*x)*(1-12*x)))); // Bruno Berselli, May 08 2013

Crossrefs

Cf. A019041 (first differences).

Sequence in context: A068186 A021284 A019623 * A348134 A223812 A018090

Adjacent sequences: A021791 A021792 A021793 * A021795 A021796 A021797

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved