A028049 - OEIS

A028049

Expansion of 1/((1-3*x)*(1-4*x)*(1-9*x)*(1-12*x)).

1, 28, 517, 8008, 113113, 1513876, 19589389, 247937536, 3091276705, 38140546444, 467097608341, 5689887004984, 69041150918377, 835356636400132, 10086046124610973, 121588456137536752, 1464064614481015729, 17613803709579417340, 211770899810933710885, 2544898096491055699240, 30571602851118915066361, 367154665470024005860468

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (28,-267,1008,-1296).

FORMULA

a(0)=1, a(1)=28, a(2)=517, a(3)=8008, a(n) = 28*a(n-1)-267*a(n-2)+1008*a(n-3)-1296*a(n-4). - Harvey P. Dale, Sep 23 2011

a(n) = (5*12^(n+3)-12*9^(n+3)+27*4^(n+3)-20*3^(n+3))/1080. - Yahia Kahloune, Jun 07 2013

MATHEMATICA

CoefficientList[Series[1/((1-3x)(1-4x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -267, 1008, -1296}, {1, 28, 517, 8008}, 31] (* Harvey P. Dale, Sep 23 2011 *)

CROSSREFS

Sequence in context: A028050 A026738 A026149 * A283244 A024442 A026108

Adjacent sequences: A028046 A028047 A028048 * A028050 A028051 A028052

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved