A029253 Expansion of 1/((1-x^3)*(1-x^4)*(1-x^6)*(1-x^9)).

1, 0, 0, 1, 1, 0, 2, 1, 1, 3, 2, 1, 5, 3, 2, 6, 5, 3, 9, 6, 5, 11, 9, 6, 15, 11, 9, 18, 15, 11, 23, 18, 15, 27, 23, 18, 34, 27, 23, 39, 34, 27, 47, 39, 34, 54, 47, 39, 64, 54, 47, 72, 64, 54, 84, 72, 64, 94, 84, 72, 108, 94, 84

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Number of partitions of n into parts 3, 4, 6, and 9. - Vincenzo Librandi, Jun 03 2014

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,1,1,0,1,-1,0,0,-1,0,-1,0,0,-1,1,0,1,1,0,0,-1).

Programs

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^6) (1 - x^9)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

PARI

Vec(1/((1-x^3)*(1-x^4)*(1-x^6)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020