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%I #5 Jun 28 2017 15:22:57
%S 1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,1,1,1,1,2,1,2,3,2,2,2,3,2,3,3,4,4,
%T 3,4,5,4,4,5,6,5,6,6,7,7,6,7,9,8,8,9,10,9,10,10,12,12,11,12,14,13,13,
%U 15,16,15,16,16,18,18,18,19
%N Expansion of 1/((1-x^7)(1-x^8)(1-x^9)(1-x^12)).
%H <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1).
%t CoefficientList[Series[1/((1-x^7)(1-x^8)(1-x^9)(1-x^12)),{x,0, 80}],x] (* or *) LinearRecurrence[{0,0,0,0,0,0,1,1,1,0,0,1,0,0,-1,-1,-1,0,-1,-1,-1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,-1},{1,0,0,0,0,0,0,1,1,1,0,0,1,0,1,1,2,1,1,1,1,2,1,2,3,2,2,2,3,2,3,3,4,4,3,4},80] (* _Harvey P. Dale_, Jun 28 2017 *)
%K nonn
%O 0,17
%A _N. J. A. Sloane_.
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