A029228 Expansion of 1/((1-x^2)*(1-x^7)*(1-x^8)*(1-x^11)).

1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 3, 3, 4, 3, 5, 4, 5, 5, 7, 6, 8, 7, 9, 8, 10, 10, 12, 11, 14, 13, 15, 15, 17, 17, 19, 19, 22, 21, 24, 24, 27, 26, 30, 29, 33, 32, 36, 36, 39, 39, 43, 43, 47, 47, 51, 51, 55, 55, 60, 60

Offset

0,9

Comments

Number of partitions of n into parts 2, 7, 8, and 11. - 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 (0,1,0,0,0,0,1,1,-1,-1,1,0,-1,0,-1,0,1,-1,-1,1,1,0,0,0,0,1,0,-1).

Formula

a(n) = floor((n^3+42*n^2+644*n+4416)/7392 - (n+9)*(n mod 2)/32 + ((10*n^3+2*n^2+5*n+6) mod 11)/11). - Hoang Xuan Thanh, Oct 25 2025

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^7) (1 - x^8) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^7)*(1-x^8)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A029379 A058776 A233296 * A029215 A240649 A226942

Adjacent sequences: A029225 A029226 A029227 * A029229 A029230 A029231

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved