A029336 Expansion of 1/((1-x^4)*(1-x^5)*(1-x^7)*(1-x^12)).

1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 7, 5, 6, 6, 8, 8, 7, 9, 10, 10, 10, 11, 14, 12, 13, 14, 17, 16, 16, 18, 20, 20, 20, 22, 25, 24, 25, 26, 30, 29, 30, 32, 35, 35, 35, 38, 42, 41, 42, 44, 49

Offset

0,13

Links

Table of n, a(n) for n=0..64.

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

Mathematica

CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^7)(1-x^12)), {x, 0, 70}], x] (* or *) LinearRecurrence[{0, 0, 0, 1, 1, 0, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 1, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 2, 4, 4, 4, 4, 4, 7, 5, 6, 6}, 70] (* Harvey P. Dale, Dec 15 2017 *)

Prog

(PARI) Vec(1/((1-x^4)*(1-x^5)*(1-x^7)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Feb 28 2020

Crossrefs

Sequence in context: A079399 A092155 A288725 * A211939 A010280 A318556

Adjacent sequences: A029333 A029334 A029335 * A029337 A029338 A029339

Keyword

nonn

Author

N. J. A. Sloane

Status

approved