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A025864 Expansion of 1/((1-x^4)(1-x^5)(1-x^12)). 0

%I #6 Jun 13 2015 00:49:05

%S 1,0,0,0,1,1,0,0,1,1,1,0,2,1,1,1,2,2,1,1,3,2,2,1,4,3,2,2,4,4,3,2,5,4,

%T 4,3,6,5,4,4,7,6,5,4,8,7,6,5,9,8,7,6,10,9,8,7,11,10,9,8,13,11,10,9,14,

%U 13,11,10,15,14,13,11,17,15

%N Expansion of 1/((1-x^4)(1-x^5)(1-x^12)).

%H <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1).

%F a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=1, a(6)=0, a(7)=0, a(8)=1, a(9)=1, a(10)=1, a(11)=0, a(12)=2, a(13)=1, a(14)=1, a(15)=1, a(16)=2, a(17)=2, a(18)=1, a(19)=1, a(20)=3, a(n)=a(n-4)+a(n-5)-a(n-9)+ a(n-12)-a(n-16)- a(n-17)+a(n-21). - _Harvey P. Dale_, Mar 22 2015

%t CoefficientList[Series[1/((1-x^4)(1-x^5)(1-x^12)),{x,0,100}],x] (* or *) LinearRecurrence[{0,0,0,1,1,0,0,0,-1,0,0,1,0,0,0,-1,-1,0,0,0,1},{1,0,0,0,1,1,0,0,1,1,1,0,2,1,1,1,2,2,1,1,3},100] (* _Harvey P. Dale_, Mar 22 2015 *)

%K nonn

%O 0,13

%A _N. J. A. Sloane_.

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)