%I #14 Mar 11 2020 23:22:24
%S 1,0,0,1,0,1,1,0,1,2,1,1,3,1,2,4,1,3,5,2,4,6,3,5,8,4,6,10,5,8,12,6,10,
%T 14,8,12,17,10,14,20,12,17,23,14,20,27,17,23,31,20,27,35,23,31,40,27,
%U 35,45,31,40,51,35,45,57,40
%N Expansion of 1/((1-x^3)(1-x^5)(1-x^9)(1-x^12)).
%C Number of partitions of n into parts 3, 5, 9, and 12. - _Vincenzo Librandi_, Jun 04 2014
%H Vincenzo Librandi, <a href="/A029288/b029288.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_29">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 1, 0, 0, -1).
%t CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^9) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 04 2014 *)
%o (PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^9)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020
%K nonn,easy
%O 0,10
%A _N. J. A. Sloane_