A028049 Expansion of 1/((1-3x)(1-4x)(1-9x)(1-12x)).

1, 28, 517, 8008, 113113, 1513876, 19589389, 247937536, 3091276705, 38140546444, 467097608341, 5689887004984, 69041150918377, 835356636400132, 10086046124610973, 121588456137536752, 1464064614481015729

Offset

0,2

Links

Table of n, a(n) for n=0..16.

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) [From 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

Author

N. J. A. Sloane.

Status

approved