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%I #5 Feb 14 2016 11:05:58
%S 1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,2,2,1,2,1,2,2,3,2,3,3,3,3,4,3,4,5,
%T 4,5,6,4,6,6,6,7,8,6,9,8,8,9,10,9,11,11,11,12,13,12,14,14,14,15,17,15,
%U 18,18,18,19,21,19,22,22,22
%N Expansion of 1/((1-x^6)(1-x^8)(1-x^9)(1-x^11)).
%H <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, -1, -1, 0, -2, 0, -1, -1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1).
%F a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=0, a(5)=0, a(6)=1, a(7)=0, a(8)=1, a(9)=1, a(10)=0, a(11)=1, a(12)=1, a(13)=0, a(14)=1, a(15)=1, a(16)=1, a(17)=2, a(18)=2, a(19)=1, a(20)=2, a(21)=1, a(22)=2, a(23)=2, a(24)=3, a(25)=2, a(26)=3, a(27)=3, a(28)=3, a(29)=3, a(30)=4, a(31)=3, a(32)=4, a(33)=5, a(n)=a(n-6)+a(n-8)+a(n-9)+a(n-11)-a(n-14)-a(n-15)- 2*a(n-17)- a(n-19)- a(n-20)+a(n-23)+a(n-25)+a(n-26)+a(n-28)-a(n-34). - _Harvey P. Dale_, Feb 14 2016
%t CoefficientList[Series[1/((1-x^6)(1-x^8)(1-x^9)(1-x^11)),{x,0,70}],x] (* or *) LinearRecurrence[{0,0,0,0,0,1,0,1,1,0,1,0,0,-1,-1,0,-2,0,-1,-1,0,0,1,0,1,1,0,1,0,0,0,0,0,-1},{1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,2,2,1,2,1,2,2,3,2,3,3,3,3,4,3,4,5},80] (* _Harvey P. Dale_, Feb 14 2016 *)
%K nonn
%O 0,18
%A _N. J. A. Sloane_.