%I #5 Dec 05 2015 14:55:35

%S 1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,5,6,8,9,10,10,10,10,10,11,12,14,

%T 16,18,19,20,20,20,21,22,24,26,29,31,33,34,35,36,37,39,41,44,47,50,52,

%U 54,56,58,60,62,65,68,72,75

%N Expansion of 1/((1-x)(1-x^9)(1-x^10)(1-x^11)).

%H <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1).

%F a(0)=1, a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1, a(7)=1, a(8)=1, a(9)=2, a(10)=3, a(11)=4, a(12)=4, a(13)=4, a(14)=4, a(15)=4, a(16)=4, a(17)=4, a(18)=5, a(19)=6, a(20)=8, a(21)=9, a(22)=10, a(23)=10, a(24)=10, a(25)=10, a(26)=10, a(27)=11, a(28)=12, a(29)=14, a(30)=16, a(n)=a(n-1)+ a(n-9)- a(n-12)- a(n-19)+ a(n-22)+a(n-30)-a(n-31). - _Harvey P. Dale_, Dec 05 2015

%t CoefficientList[Series[1/((1-x)(1-x^9)(1-x^10)(1-x^11)),{x,0,70}],x] (* or *) LinearRecurrence[{1,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,1,-1},{1,1,1,1,1,1,1,1,1,2,3,4,4,4,4,4,4,4,5,6,8,9,10,10,10,10,10,11,12,14,16},70] (* _Harvey P. Dale_, Dec 05 2015 *)

%K nonn

%O 0,10

%A _N. J. A. Sloane_.