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%I #12 Mar 18 2020 08:08:16
%S 1,0,1,1,2,1,3,2,5,3,6,5,9,6,11,9,15,11,18,15,23,18,27,23,34,27,39,34,
%T 47,39,54,47,64,54,72,64,84,72,94,84,108,94,120,108,136,120,150,136,
%U 169,150,185,169,206,185,225,206,249,225,270,249,297,270,321,297,351,321
%N Expansion of 1/((1-x^2)(1-x^3)(1-x^4)(1-x^8)).
%C Number of partitions of n into parts 2, 3, 4, and 8. - _Joerg Arndt_, Jul 07 2013
%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,1,-1,-1,-1,1,1,-1,-1,-1,1,1,1,0,-1).
%F a(n) = floor((2*n^3 + 51*n^2 + 387*n + 1665 + 9*((n^2+17*n+63) + 8*(floor(n/2)+1)*(-1)^floor(n/2))*(-1)^n)/2304). - _Tani Akinari_, Jul 07 2013
%t CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^8)), {x, 0, 100}], x] (* _Jinyuan Wang_, Mar 18 2020 *)
%o (PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^8))+O(x^66)) \\ _Joerg Arndt_, Jul 07 2013
%K nonn,easy
%O 0,5
%A _N. J. A. Sloane_
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