A029200 Expansion of 1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)).

1, 0, 1, 0, 1, 1, 1, 2, 1, 3, 2, 3, 3, 3, 5, 4, 6, 5, 7, 7, 8, 9, 9, 11, 11, 13, 13, 15, 16, 17, 19, 19, 22, 22, 25, 26, 28, 30, 31, 34, 35, 38, 40, 42, 45, 47, 50, 52, 55, 58, 61, 64, 67, 70, 74, 77, 81, 84, 88, 92, 96, 100

Offset

0,8

Comments

Number of partitions of n into parts 2, 5, 7, and 9. - 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 (0,1,0,0,1,0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,1,0,-1).

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^7) (1 - x^9)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A369793 A253281 A029206 * A317243 A051274 A267806

Adjacent sequences: A029197 A029198 A029199 * A029201 A029202 A029203

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved