A025875 Expansion of 1/((1-x^4)*(1-x^11)*(1-x^12)).

1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 5, 2, 3, 4, 6, 2, 3, 4, 6, 2, 3, 5, 7, 3, 4, 6, 8, 3, 4, 6, 8, 3, 5, 7, 9, 4, 6, 8, 10, 4, 6, 8, 10, 5, 7, 9

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

a(n) is the number of partitions of n into parts 4, 11, and 12. - Joerg Arndt, Apr 29 2017

Links

• Jinyuan Wang, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,0,0,0,0,0,0,1,1,0,0,-1,-1,0,0,0,0,0,0,-1,0,0,0,1).

Programs

Mathematica

CoefficientList[Series[1/((1 - x^4) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 28 2017 *)
LinearRecurrence[{0,0,0,1,0,0,0,0,0,0,1,1,0,0,-1,-1,0,0,0,0,0,0,-1,0,0,0,1},{1,0,0,0,1,0,0,0,1,0,0,1,2,0,0,1,2,0,0,1,2,0,1,2,3,0,1},100] (* Harvey P. Dale, May 05 2018 *)

PARI

Vec(1/((1-x^4)*(1-x^11)*(1-x^12))+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012

Formula

G.f.: 1/((1-x^4)(1-x^11)(1-x^12)).