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%I #9 Nov 30 2022 14:03:10
%S 1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,2,1,2,1,3,1,2,2,3,2,3,3,4,2,
%T 4,3,5,3,5,4,6,4,6,5,7,5,7,6,9,6,9,7,10,7,10,9,12,9,12,10,14,10,14,12,
%U 16,12,16,14,18,14,19,16,21
%N Expansion of 1/((1-x^7)(1-x^8)(1-x^10)(1-x^12)).
%H <a href="/index/Rec#order_37">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1).
%t CoefficientList[Series[1/((1-x^7)(1-x^8)(1-x^10)(1-x^12)), {x, 0, 100}], x] (* _Jinyuan Wang_, Mar 11 2020 *)
%t LinearRecurrence[{0,0,0,0,0,0,1,1,0,1,0,1,0,0,-1,0,-1,-1,-1,-1,0,-1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,-1},{1,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,1,1,1,1,2,1,2,1,3,1,2,2,3,2,3,3,4,2,4,3,5},80] (* _Harvey P. Dale_, Nov 30 2022 *)
%K nonn,easy
%O 0,21
%A _N. J. A. Sloane_