A028186 Expansion of 1/((1-5x)(1-7x)(1-9x)(1-12x)).

1, 33, 694, 11898, 181747, 2582715, 34981048, 458355876, 5866720453, 73835049717, 917894484442, 11308397377134, 138391574753719, 1685252212876239, 20446364918965276, 247382964478976472

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (33, -395, 2031, -3780).

Formula

a(n)=(8*12^(n+3)-35*9^(n+3)+6*7^(n+4)-3*5^(n+4))/840. [Yahia Kahloune, Jun 04 2013]

Mathematica

CoefficientList[Series[1/((1-5x)(1-7x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{33, -395, 2031, -3780}, {1, 33, 694, 11898}, 30] (* Harvey P. Dale, Oct 20 2024 *)

Crossrefs

Sequence in context: A028191 A028203 A028187 * A028158 A028157 A028178

Adjacent sequences: A028183 A028184 A028185 * A028187 A028188 A028189

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved