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A025869 Expansion of 1/((1-x^4)(1-x^7)(1-x^10)). 0

%I #7 Jul 30 2015 22:19:55

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

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

%U 11,10,12,10,13,11,13,11,14

%N Expansion of 1/((1-x^4)(1-x^7)(1-x^10)).

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

%F a(0)=1, a(1)=0, a(2)=0, a(3)=0, a(4)=1, a(5)=0, a(6)=0, a(7)=1, a(8)=1, a(9)=0, a(10)=1, a(11)=1, a(12)=1, a(13)=0, a(14)=2, a(15)=1, a(16)=1, a(17)=1, a(18)=2, a(19)=1, a(20)=2, a(n)=a(n-4)+a(n-7)+a(n-10)- a(n-11)- a(n-14)-a(n-17)+a(n-21). - _Harvey P. Dale_, May 07 2014

%t CoefficientList[Series[1/((1-x^4)(1-x^7)(1-x^10)),{x,0,90}],x] S(* or *)

%t LinearRecurrence[{0,0,0,1,0,0,1,0,0,1,-1,0,0,-1,0,0,-1,0,0,0,1},{1,0,0,0,1,0,0,1,1,0,1,1,1,0,2,1,1,1,2,1,2},90] (* _Harvey P. Dale_, May 07 2014 *)

%K nonn

%O 0,15

%A _N. J. A. Sloane_.

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)