%I #8 May 20 2021 15:42:25
%S 1,0,0,0,0,1,0,1,0,1,1,0,2,0,2,1,1,2,1,3,1,3,2,2,4,2,4,3,4,4,4,5,4,6,
%T 5,6,7,6,7,7,8,8,9,9,9,11,10,11,12,12,13,13,14,14,16,16,16,18,17,19,
%U 20,20,21,22,23,23,25,25,26
%N Expansion of 1/((1-x^5)(1-x^7)(1-x^9)(1-x^12)).
%H <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, -1).
%F G.f.: 1/((1-x^5)*(1-x^7)*(1-x^9)*(1-x^12)).
%F a(n) = a(n-5)+a(n-7)+a(n-9)-a(n-14)-a(n-16)-a(n-17)-a(n-19)+a(n-24)+a(n-26)+a(n-28)-a(n-33). - _Wesley Ivan Hurt_, May 20 2021
%t CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^9)(1-x^12)), {x, 0, 100}], x] (* _Jinyuan Wang_, Mar 11 2020 *)
%K nonn,easy
%O 0,13
%A _N. J. A. Sloane_