A029209 Expansion of 1/((1-x^2)*(1-x^5)*(1-x^9)*(1-x^11)).

1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 5, 5, 7, 6, 8, 7, 9, 9, 10, 11, 11, 13, 13, 15, 15, 17, 17, 19, 20, 21, 23, 23, 26, 26, 29, 29, 32, 33, 35, 37, 38, 41, 42, 45, 46, 49, 51, 54, 56, 58, 61, 63, 67, 68, 72

Offset

0,10

Comments

Number of partitions of n into parts 2, 5, 9, and 11. - Hoang Xuan Thanh, Oct 16 2025

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,-1,0,1,0,0,0,-1,-1,0,0,0,1,0,-1,0,1,0,0,1,0,-1).

Formula

a(n) = floor((326*n^3+351*n^2+222*n+296)/216) - floor((3*n^3+4*n^2+2*n+2)/5) - floor((10*n^3+9*n^2+6*n+10)/11). - Hoang Xuan Thanh, Oct 16 2025

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^5)(1-x^9)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Sep 07 2012 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^9)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A205018 A286716 A029213 * A384426 A282630 A108309

Adjacent sequences: A029206 A029207 A029208 * A029210 A029211 A029212

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved