A028173 Expansion of 1/((1-5x)(1-6x)(1-8x)(1-12x)).

1, 31, 615, 9995, 145511, 1981731, 25867375, 328390315, 4092662871, 50378487731, 614988087935, 7465359578235, 90280175113831, 1089001243414531, 13113567724769295, 157729903649607755

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (31, -346, 1656, -2880).

Formula

G.f.: 1/((1-5*x)*(1-6*x)*(1-8*x)*(1-12*x)).

a(n) = (12^(n+3)-7*8^(n+3)+14*6^(n+3)-8*5^(n+3))/168. [Yahia Kahloune, Jun 03 2013]

Mathematica

CoefficientList[Series[1/((1 - 5*x)*(1 - 6*x)*(1 - 8*x)*(1 - 12*x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 04 2022 *)

Crossrefs

Sequence in context: A028155 A028175 A028150 * A301769 A028142 A028148

Adjacent sequences: A028170 A028171 A028172 * A028174 A028175 A028176

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved