A028104 Expansion of 1/((1-3x)(1-8x)(1-11x)(1-12x)).

1, 34, 747, 13496, 218309, 3291918, 47316319, 657096292, 8894300217, 118046931002, 1542749735891, 19914792822288, 254507220618925, 3225793030038886, 40605323440744263, 508174054158717884

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (34, -409, 2004, -3168).

Formula

a(n)=(10*12^(n+3)-15*11^(n+3)+6*8^(n+3)-3^(n+3))/360. - Yahia Kahloune, May 29 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-8x)(1-11x)(1-12x)), {x, 0, 20}], x] (* Harvey P. Dale, Jan 16 2015 *)
(* Alternative: *)
LinearRecurrence[{34, -409, 2004, -3168}, {1, 34, 747, 13496}, 20] (* Harvey P. Dale, Jan 16 2015 *)

Prog

(PARI) a(n)=(-19965*11^n+3072*8^n-27*3^n)/360+48*12^n \\ Charles R Greathouse IV, Jun 02 2026

Crossrefs

Sequence in context: A028179 A028154 A028106 * A295050 A295378 A387803

Adjacent sequences: A028101 A028102 A028103 * A028105 A028106 A028107

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved