A029291 Expansion of 1/((1-x^3)*(1-x^5)*(1-x^11)*(1-x^12)).

1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 3, 2, 3, 3, 2, 4, 4, 4, 5, 5, 5, 6, 7, 6, 7, 8, 7, 9, 10, 9, 11, 12, 11, 13, 14, 13, 15, 16, 15, 18, 19, 18, 21, 22, 21, 24, 25, 24, 27, 28, 28, 31, 32, 32, 35, 37, 36, 39, 41, 40, 44

Offset

0,12

Comments

Number of partitions of n into parts 3, 5, 11, and 12. - Vincenzo Librandi, Jun 04 2014

Links

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

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

Formula

a(n) = floor((2*n^3+93*n^2+1512*n+2781)/23760 - ((2*n^2+2*n) mod 3)*n/36 + ((4*n^3+n^2+4*n+2) mod 5)/5 + ((5*n^3+7*n^2+7*n+6) mod 11)/11). - Hoang Xuan Thanh, Apr 02 2026

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 04 2014 *)

Prog

(PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

Crossrefs

Sequence in context: A356647 A219644 A193676 * A333529 A369363 A022872

Adjacent sequences: A029288 A029289 A029290 * A029292 A029293 A029294

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved