%I #15 Oct 02 2021 16:58:20
%S 1,0,0,1,0,1,1,0,1,1,2,1,2,2,1,4,2,2,4,2,5,4,4,5,5,7,5,7,7,6,11,7,9,
%T 11,9,13,12,12,13,14,17,14,18,17,17,23,19,21,24,22,27,26,27,28,30,33,
%U 31,35,35,35,43,38,41,45,43
%N Expansion of 1/((1-x^3)(1-x^5)(1-x^10)(1-x^12)).
%C Number of partitions of n into parts 3, 5, 10, and 12. - _Vincenzo Librandi_, Jun 04 2014
%H Vincenzo Librandi, <a href="/A029290/b029290.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_30">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 1, 0, 0, -1, 0, 1, 0, 1, -1, 0, -2, 0, -1, 1, 0, 1, 0, -1, 0, 0, 1, 0, 1, 0, 0, -1).
%t CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^10) (1 - x^12)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 04 2014 *)
%t LinearRecurrence[{0,0,1,0,1,0,0,-1,0,1,0,1,-1,0,-2,0,-1,1,0,1,0,-1,0,0,1,0,1,0,0,-1},{1,0,0,1,0,1,1,0,1,1,2,1,2,2,1,4,2,2,4,2,5,4,4,5,5,7,5,7,7,6},70] (* _Harvey P. Dale_, Oct 02 2021 *)
%o (PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^10)*(1-x^12)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020
%K nonn,easy
%O 0,11
%A _N. J. A. Sloane_