A029412 Expansion of 1/((1-x^5)*(1-x^10)*(1-x^11)*(1-x^12)).

1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 3, 2, 3, 1, 1, 3, 2, 3, 1, 1, 4, 3, 5, 3, 3, 5, 4, 5, 3, 3, 6, 5, 7, 5, 6, 8, 7, 8, 6, 6, 9, 8, 10, 8, 9, 12, 11, 12, 10, 10, 14, 12, 14, 12, 13, 17, 16, 17, 15, 15, 20, 18, 20

Offset

0,11

Links

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

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

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^10)(1-x^11)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, -1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 3, 2, 3, 1, 1, 3, 2, 3, 1, 1, 4, 3, 5, 3, 3, 5, 4, 5}, 80] (* Harvey P. Dale, Dec 29 2017 *)

Prog

(PARI) Vec(1/((1-x^5)*(1-x^10)*(1-x^11)*(1-x^12)) + O(x^90)) \\ Jinyuan Wang, Feb 28 2020

Crossrefs

Sequence in context: A223730 A353129 A117452 * A368571 A178670 A026921

Adjacent sequences: A029409 A029410 A029411 * A029413 A029414 A029415

Keyword

nonn

Author

N. J. A. Sloane

Status

approved