A028023 Expansion of 1/((1-2x)(1-9x)(1-11x)(1-12x)).

1, 34, 753, 13766, 225653, 3448818, 50219881, 705962782, 9663465405, 129570729002, 1709032341809, 22244754709398, 286400212885957, 3654165387941986, 46270388840585337, 582133829294947214

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (34,-403,1866,-2376).

Formula

a(n)=(21*12^(n+3)-35*11^(n+3)+15*9^(n+3)-2^(n+3))/630. [Yahia Kahloune, May 29 2013]

Mathematica

CoefficientList[Series[1/((1-2x)(1-9x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -403, 1866, -2376}, {1, 34, 753, 13766}, 30] (* Harvey P. Dale, Sep 11 2021 *)

Crossrefs

Sequence in context: A295050 A295378 A387803 * A025190 A160315 A078193

Adjacent sequences: A028020 A028021 A028022 * A028024 A028025 A028026

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved