A029318 Expansion of 1/((1-x^3)(1-x^8)(1-x^9)(1-x^12)).

1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 3, 0, 1, 3, 1, 2, 4, 1, 3, 5, 1, 3, 7, 2, 4, 8, 3, 5, 9, 3, 7, 11, 4, 8, 14, 5, 9, 15, 7, 11, 17, 8, 14, 20, 9, 15, 24, 11, 17, 26, 14, 20, 29, 15, 24, 33, 17, 26, 38, 20, 29, 41, 24, 33, 45, 26, 38, 50, 29, 41, 57, 33, 45

Offset

0,10

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (0, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, -1).

Formula

a(n) = a(n-3)+a(n-8)+a(n-9)-a(n-11)-a(n-15)-a(n-17)-a(n-21)+a(n-23)+a(n-24)+a(n-29)-a(n-32). - Wesley Ivan Hurt, Apr 22 2021

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^8)(1-x^9)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)

Crossrefs

Sequence in context: A208343 A029324 A227551 * A358402 A210381 A368591

Adjacent sequences: A029315 A029316 A029317 * A029319 A029320 A029321

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved