A029205 Expansion of 1/((1-x^2)*(1-x^5)*(1-x^8)*(1-x^10)).

1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 4, 1, 4, 2, 4, 4, 5, 4, 7, 4, 10, 5, 10, 7, 11, 10, 13, 10, 16, 11, 20, 13, 21, 16, 23, 20, 26, 21, 30, 23, 36, 26, 38, 30, 41, 36, 45, 38, 51, 41, 59, 45, 62, 51, 66, 59, 72, 62, 80, 66, 90, 72

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Number of partitions of n into parts 2, 5, 8, and 10. - Joerg Arndt, Jun 02 2014

Links

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

Programs

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^8) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

PARI

Vec(1/((1-x^2)*(1-x^5)*(1-x^8)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020