A025964 Expansion of 1/((1-2x)(1-4x)(1-5x)(1-12x)).

1, 23, 359, 4843, 61287, 753315, 9137263, 110167211, 1324737623, 15911030707, 191005360767, 2292437677179, 27511152416359, 330143464656899, 3961770291040271, 47541489215721547, 570499107794719095

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (23, -170, 496, -480).

Formula

G.f.: 1/((1-2*x)*(1-4*x)*(1-5*x)*(1-12*x)).

a(0)=1, a(1)=23, a(2)=359, a(3)=4843, a(n)=23*a(n-1)-170*a(n-2)+ 496*a(n-3)- 480*a(n-4). - Harvey P. Dale, Jan 28 2013

a(n) = (3*12^(n+3)-80*5^(n+3)+105*4^(n+3)-28*2^(n+3))/1680. - Yahia Kahloune, May 23 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-5x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{23, -170, 496, -480}, {1, 23, 359, 4843}, 30] (* Harvey P. Dale, Jan 28 2013 *)

Crossrefs

Sequence in context: A021884 A101792 A020346 * A180361 A021684 A138578

Adjacent sequences: A025961 A025962 A025963 * A025965 A025966 A025967

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved