A029429 Expansion of 1/((1-x^6)(1-x^9)(1-x^10)(1-x^12)).

1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 3, 1, 1, 2, 2, 0, 4, 1, 1, 3, 3, 1, 6, 2, 2, 4, 4, 1, 8, 3, 3, 6, 6, 2, 10, 4, 4, 8, 8, 3, 13, 6, 6, 10, 10, 4, 16, 8, 8, 13, 13, 6, 20, 10, 10, 16, 16, 8, 24, 13, 13, 20, 20, 10, 29

Offset

0,13

Links

Table of n, a(n) for n=0..72.

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

Mathematica

CoefficientList[Series[1/((1-x^6)(1-x^9)(1-x^10)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 3, 1, 1, 2, 2, 0, 4, 1, 1, 3, 3, 1, 6, 2, 2, 4, 4, 1, 8}, 80] (* Harvey P. Dale, Aug 05 2024 *)

Crossrefs

Sequence in context: A364014 A326016 A326033 * A064559 A340998 A336562

Adjacent sequences: A029426 A029427 A029428 * A029430 A029431 A029432

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved