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%I #7 Jul 30 2015 23:11:59
%S 1,0,1,0,2,0,2,0,3,1,3,1,5,2,5,2,7,3,8,3,10,5,11,5,14,7,15,8,18,10,20,
%T 11,23,14,25,15,30,18,32,20,37,23,40,25,45,30,48,32,55,37,58,40,65,45,
%U 70,48,77,55,82,58,91,65,96
%N Expansion of 1/((1-x^2)(1-x^4)(1-x^9)(1-x^12)).
%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 0, 1, 0, -1, 0, 0, 1, 0, -1, 1, -1, -1, 1, -1, 0, 1, 0, 0, -1, 0, 1, 0, 1, 0, -1).
%F a(0)=1, a(1)=0, a(2)=1, a(3)=0, a(4)=2, a(5)=0, a(6)=2, a(7)=0, a(8)=3, a(9)=1, a(10)=3, a(11)=1, a(12)=5, a(13)=2, a(14)=5, a(15)=2, a(16)=7, a(17)=3, a(18)=8, a(19)=3, a(20)=10, a(21)=5, a(22)=11, a(23)=5, a(24)=14, a(25)=7, a(26)=15, a(n)=a(n-2)+a(n-4)-a(n-6)+a(n-9)-a(n-11)+a(n-12)-a(n-13)-a(n-14)+a(n-15)- a(n-16)+ a(n-18)-a(n-21)+a(n-23)+a(n-25)-a(n-27). - _Harvey P. Dale_, Mar 03 2014
%t CoefficientList[Series[1/((1-x^2)(1-x^4)(1-x^9)(1-x^12)),{x,0,70}],x] (* or *) LinearRecurrence[{0,1,0,1,0,-1,0,0,1,0,-1,1,-1,-1,1,-1,0,1,0,0,-1,0,1,0,1,0,-1},{1,0,1,0,2,0,2,0,3,1,3,1,5,2,5,2,7,3,8,3,10,5,11,5,14,7,15},70] (* _Harvey P. Dale_, Mar 03 2014 *)
%K nonn
%O 0,5
%A _N. J. A. Sloane_.