A028153 Expansion of 1/((1-4x)(1-7x)(1-10x)(1-12x)).

1, 33, 699, 12133, 188307, 2724645, 37614403, 502459221, 6553738323, 83980945477, 1061789912547, 13286272788789, 164915485814899, 2034013938152229, 24960030504150531, 305050074724911637

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (33, -390, 1936, -3360).

Formula

a(n)=(9*12^(n+3)-2*10^(n+4)+16*7^(n+3)-5*4^(n+3))/720. - Yahia Kahloune, Jun 11 2013

Mathematica

CoefficientList[Series[1/((1-4x)(1-7x)(1-10x)(1-12x)), {x, 0, 40}], x]  (* Harvey P. Dale, Mar 04 2011 *)

Crossrefs

Sequence in context: A028158 A028157 A028178 * A028105 A028103 A028144

Adjacent sequences: A028150 A028151 A028152 * A028154 A028155 A028156

Keyword

nonn

Author

N. J. A. Sloane

Status

approved