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A025791 Expansion of 1/((1-x)(1-x^9)(1-x^10)). 0

%I #5 Jan 14 2016 10:37:04

%S 1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,5,6,6,6,6,6,6,6,7,8,9,10,10,10,

%T 10,10,10,11,12,13,14,15,15,15,15,15,16,17,18,19,20,21,21,21,21,22,23,

%U 24,25,26,27,28,28,28,29

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

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 0, 0, 0, 0, 0, 0, 1, 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)=3, a(12)=3, a(13)=3, a(14)=3, a(15)=3, a(16)=3, a(17)=3, a(18)=4, a(19)=5, a(n)=a(n-1)-a(n-19)+a(n-20). - _Harvey P. Dale_, Jan 14 2016

%t CoefficientList[Series[1/((1-x)(1-x^9)(1-x^10)),{x,0,70}],x] (* or *) LinearRecurrence[{1,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,-1,1},{1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,3,4,5},70] (* _Harvey P. Dale_, Jan 14 2016 *)

%K nonn

%O 0,10

%A _N. J. A. Sloane_.

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)