OFFSET
0,13
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).
FORMULA
G.f.: 1/((1-x^4)(1-x^11)(1-x^12)).
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 *)
PROG
(PARI) Vec(1/((1-x^4)*(1-x^11)*(1-x^12))+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved