A025954 Expansion of 1/((1-2x)(1-3x)(1-9x)(1-12x)).

1, 26, 457, 6854, 94789, 1251002, 16035889, 201651758, 2502830077, 30781099778, 376097622121, 4573691815862, 55428986530165, 670050005786954, 8084719590584353, 97413710820261566, 1172538211571391853

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -219, 666, -648).

Formula

a(n) = 26*a(n-1) - 219*a(n-2) + 666*a(n-3) - 648*a(n-4) with a(0)=1, a(1)=26, a(2)=457, a(3)=6854. [Harvey P. Dale, Jan 19 2012]

a(n) = -4*2^n/35 +3^n/2 -81*9^n/14 +32*12^n/5. - R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{26, -219, 666, -648}, {1, 26, 457, 6854}, 30] (* Harvey P. Dale, Jan 19 2012 *)

Crossrefs

Sequence in context: A022725 A020606 A021984 * A158436 A158431 A158432

Adjacent sequences: A025951 A025952 A025953 * A025955 A025956 A025957

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved