A029315 - OEIS

A029315

Expansion of 1/((1-x^3)(1-x^7)(1-x^11)(1-x^12)).

1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 3, 2, 2, 4, 3, 3, 5, 4, 4, 5, 5, 5, 6, 6, 6, 8, 7, 8, 10, 8, 9, 11, 10, 10, 13, 12, 12, 15, 14, 15, 17, 16, 17, 19, 18, 19, 22, 21, 22, 25, 24, 25, 28, 27, 28, 31, 30, 31, 35

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OFFSET

0,13

LINKS

Table of n, a(n) for n=0..66.

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

FORMULA

G.f.: 1/((1-x^3)*(1-x^7)*(1-x^11)*(1-x^12)).

a(n) = a(n-3)+a(n-7)-a(n-10)+a(n-11)+a(n-12)-a(n-14)-a(n-15)-a(n-18)-a(n-19)+a(n-21)+a(n-22)-a(n-23)+a(n-26)+a(n-30)-a(n-33). - Wesley Ivan Hurt, May 07 2021

MATHEMATICA

CoefficientList[Series[1/((1-x^3)(1-x^7)(1-x^11)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 12 2020 *)

CROSSREFS

Sequence in context: A263104 A282518 A230241 * A070080 A230196 A131400

Adjacent sequences: A029312 A029313 A029314 * A029316 A029317 A029318

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved