A025970 Expansion of 1/((1-2x)(1-4x)(1-6x)(1-12x)).

1, 24, 388, 5376, 69328, 862848, 10547776, 127767552, 1540506880, 18530383872, 222632510464, 2673205936128, 32088199647232, 385116900458496, 4621754370506752, 55463163983560704, 665570645617475584

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (24,-188,576,-576).

Formula

a(n) = -2^n/10 +2*4^n/1 -9*6^n/2 +18*12^n/5. R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=24, a(2)=388, a(3)=5376, a(n)=24*a(n-1)-188*a(n-2)+ 576*a(n-3)- 576*a(n-4). - Harvey P. Dale, May 24 2015

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-6x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{24, -188, 576, -576}, {1, 24, 388, 5376}, 20] (* Harvey P. Dale, May 24 2015 *)

Crossrefs

Sequence in context: A021954 A025950 A020584 * A021924 A020494 A020573

Adjacent sequences: A025967 A025968 A025969 * A025971 A025972 A025973

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved