|
%I #11 Sep 28 2022 03:49:46
%S 1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,2,1,1,1,
%T 1,0,2,1,1,2,2,1,2,1,1,2,2,1,3,2,2,2,2,1,3,2,2,3,3,2,4,2,2,3,3,2,4,3,
%U 3,4,4,2,5,3,3,4,4,3,5,4
%N Expansion of 1/((1-x^9)*(1-x^10)*(1-x^12)).
%H <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%F a(n)= +a(n-9) +a(n-10) +a(n-12) -a(n-19) -a(n-21) -a(n-22) +a(n-31). - _R. J. Mathar_, Jul 19 2014
%t CoefficientList[Series[1/((1-x^9)(1-x^10)(1-x^12)),{x,0,90}],x] (* or *) LinearRecurrence[ {0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,-1,0,-1,-1,0,0,0,0,0,0,0,0,1},{1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,2},90] (* _Harvey P. Dale_, Jun 19 2022 *)
%K nonn,easy
%O 0,31
%A _N. J. A. Sloane_.
|
