A029224 Expansion of 1/((1-x^2)*(1-x^6)*(1-x^10)*(1-x^11)).

1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 3, 1, 4, 1, 4, 1, 5, 2, 6, 2, 7, 3, 9, 4, 10, 4, 11, 5, 13, 6, 15, 7, 17, 9, 19, 10, 21, 11, 23, 13, 26, 15, 29, 17, 32, 19, 35, 21, 38, 23, 42, 26, 46, 29, 50, 32, 54, 35, 58, 38, 63, 42, 68, 46, 73

Offset

0,7

Comments

Number of partitions of n into parts 2, 6, 10, and 11. - Vincenzo Librandi, Jun 02 2014

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

Formula

a(n) = floor((n^3+60*n^2+1044*n+5184)/7920 - (n^2+29*n+78)*(n mod 2)/240 + ((2*n^3+10*n^2+9*n+6) mod 11)/11). - Hoang Xuan Thanh, Oct 24 2025

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^10) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^10)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A300575 A029189 A035432 * A029188 A317844 A318447

Adjacent sequences: A029221 A029222 A029223 * A029225 A029226 A029227

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved