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A025867 Expansion of 1/((1-x^4)(1-x^7)(1-x^8)). 0

%I #7 Jul 30 2015 22:19:18

%S 1,0,0,0,1,0,0,1,2,0,0,1,2,0,1,2,3,0,1,2,3,1,2,3,4,1,2,3,5,2,3,4,6,2,

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

%U 16,9,11,14,17,10,13,16,19

%N Expansion of 1/((1-x^4)(1-x^7)(1-x^8)).

%H <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1, 0, 0, 1, 1, 0, 0, -1, -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)=2, a(9)=0, a(10)=0, a(11)=1, a(12)=2, a(13)=0, a(14)=1, a(15)=2, a(16)=3, a(17)=0, a(18)=1, a(n)=a(n-4)+a(n-7)+a(n-8)-a(n-11)-a(n-12)- a(n-15)+ a(n-19). - _Harvey P. Dale_, May 30 2014

%t CoefficientList[Series[1/((1-x^4)(1-x^7)(1-x^8)),{x,0,100}],x] (* or *) LinearRecurrence[{0,0,0,1,0,0,1,1,0,0,-1,-1,0,0,-1,0,0,0,1},{1,0,0,0,1,0,0,1,2,0,0,1,2,0,1,2,3,0,1},100] (* _Harvey P. Dale_, May 30 2014 *)

%K nonn

%O 0,9

%A _N. J. A. Sloane_.

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)