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%I #7 Aug 15 2015 17:00:07
%S 1,0,0,1,0,0,2,0,1,3,0,1,4,0,2,5,1,3,7,1,4,8,2,5,11,3,7,13,4,8,16,5,
%T 11,19,7,13,23,8,16,26,11,19,31,13,23,35,16,26,41,19,31,46,23,35,53,
%U 26,41,59,31,46,67,35,53,74,41
%N Expansion of 1/((1-x^3)(1-x^6)(1-x^8)(1-x^9)).
%H <a href="/index/Rec#order_26">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, -1, -1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, -1).
%F a(0)=1, a(1)=0, a(2)=0, a(3)=1, a(4)=0, a(5)=0, a(6)=2, a(7)=0, a(8)=1, a(9)=3, a(10)=0, a(11)=1, a(12)=4, a(13)=0, a(14)=2, a(15)=5, a(16)=1, a(17)=3, a(18)=7, a(19)=1, a(20)=4, a(21)=8, a(22)=2, a(23)=5, a(24)=11, a(25)=3, a(n)=a(n-3)+a(n-6)+a(n-8)-a(n-11)-a(n-12)-a(n-14)- a(n-15)+ a(n-18)+ a(n-20)+a(n-23)-a (n-26). - _Harvey P. Dale_, Jun 21 2015
%t CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^8)(1-x^9)),{x,0,70}],x] (* or *) LinearRecurrence[{0,0,1,0,0,1,0,1,0,0,-1,-1,0,-1,-1,0,0,1,0,1,0,0,1,0,0,-1},{1,0,0,1,0,0,2,0,1,3,0,1,4,0,2,5,1,3,7,1,4,8,2,5,11,3},70] (* _Harvey P. Dale_, Jun 21 2015 *)
%K nonn
%O 0,7
%A _N. J. A. Sloane_.
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