A029240 Expansion of 1/((1-x^2)*(1-x^8)*(1-x^11)*(1-x^12)).

1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 3, 1, 3, 1, 4, 1, 4, 2, 5, 2, 6, 3, 8, 3, 8, 4, 9, 4, 10, 5, 12, 6, 13, 8, 15, 8, 16, 9, 18, 10, 19, 12, 22, 13, 24, 15, 27, 16, 28, 18, 31, 19, 33, 22, 37, 24, 39, 27, 43, 28, 45, 31, 49, 33, 52, 37, 57, 39, 60, 43, 65, 45

Offset

0,9

Comments

Number of partitions of n into parts 2, 8, 11, and 12. - 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 (0,1,0,0,0,0,0,1,0,-1,1,1,-1,-1,0,0,0,0,-1,-1,1,1,-1,0,1,0,0,0,0,0,1,0,-1).

Formula

a(n) = floor((n^3+66*n^2+1212*n+8064)/12672 - (n mod 2)*(n^2+33*n+246)/384 + ((n^2+n+2) mod 4)*n/192 + ((4*n^3+8*n+4) mod 11)/11). - Hoang Xuan Thanh, Jun 17 2026

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^8) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^8)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

Crossrefs

Sequence in context: A163160 A306696 A237184 * A302642 A025803 A029185

Adjacent sequences: A029237 A029238 A029239 * A029241 A029242 A029243

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved