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%I #14 Dec 10 2024 16:46:40
%S 1,0,1,0,1,0,1,1,2,1,3,1,3,1,4,2,5,3,6,3,7,4,8,5,10,6,11,7,13,8,15,10,
%T 17,11,19,13,21,15,24,17,27,19,30,21,33,24,36,27,40,30,44,33,48,36,52,
%U 40,57,44,62,48,67,52,72,57
%N Expansion of 1/((1-x^2)(1-x^7)(1-x^8)(1-x^10)).
%C Number of partitions of n into parts 2, 7, 8, and 10. - _Vincenzo Librandi_, Jun 02 2014
%H Vincenzo Librandi, <a href="/A029227/b029227.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 (0,1,0,0,0,0,1,1,-1,0,0,-1,0,0,-1,0,0,-1,1,1,0,0,0,0,1,0,-1).
%t CoefficientList[Series[1/((1 - x^2) (1 - x^7) (1 - x^8) (1 - x^10)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)
%t LinearRecurrence[{0,1,0,0,0,0,1,1,-1,0,0,-1,0,0,-1,0,0,-1,1,1,0,0,0,0,1,0,-1},{1,0,1,0,1,0,1,1,2,1,3,1,3,1,4,2,5,3,6,3,7,4,8,5,10,6,11},70] (* _Harvey P. Dale_, Dec 10 2024 *)
%o (PARI) Vec(1/((1-x^2)*(1-x^7)*(1-x^8)*(1-x^10)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020
%K nonn,easy
%O 0,9
%A _N. J. A. Sloane_