A029425 Expansion of 1/((1-x^6)(1-x^8)(1-x^9)(1-x^12)).

1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 3, 0, 2, 2, 1, 1, 5, 1, 3, 3, 2, 2, 6, 1, 5, 5, 3, 3, 9, 2, 6, 6, 5, 5, 11, 3, 9, 9, 6, 6, 15, 5, 11, 11, 9, 9, 18, 6, 15, 15, 11, 11, 23, 9, 18, 18, 15, 15, 27, 11, 23, 23, 18, 18

Offset

0,13

Links

Table of n, a(n) for n=0..71.

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

Formula

G.f.: 1/((1-x^6)*(1-x^8)*(1-x^9)*(1-x^12)).

a(n) = a(n-6) + a(n-8) + a(n-9) + a(n-12) - a(n-14) - a(n-15) - a(n-17) - a(n-18) - a(n-20) - a(n-21) + a(n-23) + a(n-26) + a(n-27) + a(n-29) - a(n-35). - Wesley Ivan Hurt, Sep 04 2022

Mathematica

CoefficientList[Series[1/((1-x^6)(1-x^8)(1-x^9)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)

Crossrefs

Sequence in context: A340691 A216658 A214020 * A219055 A025902 A219923

Adjacent sequences: A029422 A029423 A029424 * A029426 A029427 A029428

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved