A029286 - OEIS

%I #14 Mar 11 2020 23:22:02

%S 1,0,0,1,0,1,1,0,1,2,2,1,2,2,2,4,2,2,5,4,5,5,4,6,7,7,6,8,9,9,12,9,10,

%T 14,12,14,15,14,17,19,19,18,21,22,22,27,24,25,31,29,32,33,32,36,39,40,

%U 39,43,45,46,52,48,50,58,56

%N Expansion of 1/((1-x^3)(1-x^5)(1-x^9)(1-x^10)).

%C Number of partitions of n into parts 3, 5, 9, and 10. - _Vincenzo Librandi_, Jun 04 2014

%H Vincenzo Librandi, <a href="/A029286/b029286.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,0,1,0,0,-1,1,1,0,-1,-1,-1,-1,0,1,1,-1,0,0,1,0,1,0,0,-1).

%t CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^9) (1 - x^10)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 04 2014 *)

%o (PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^9)*(1-x^10)) + O(x^80)) \\ _Jinyuan Wang_, Mar 11 2020

%K nonn,easy

%O 0,10

%A _N. J. A. Sloane_