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A029171 Expansion of 1/((1-x^2)(1-x^4)(1-x^5)(1-x^6)). 0

%I

%S 1,0,1,0,2,1,3,1,4,2,6,3,8,4,10,6,13,8,16,10,20,13,24,16,29,20,34,24,

%T 40,29,47,34,54,40,62,47,71,54,80,62,91,71,102,80,114,91,127,102,141,

%U 114,156,127,172,141,189,156

%N Expansion of 1/((1-x^2)(1-x^4)(1-x^5)(1-x^6)).

%H <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,1,1,0,-1,-1,-1,-1,0,1,1,0,1,0,-1).

%F a(0)=1, a(1)=0, a(2)=1, a(3)=0, a(4)=2, a(5)=1, a(6)=3, a(7)=1, a(8)=4, a(9)=2, a(10)=6, a(11)=3, a(12)=8, a(13)=4, a(14)=10, a(15)=6, a(16)=13, a(n) = a(n-2) + a(n-4) + a(n-5) - a(n-7) - a(n-8) - a(n-9) - a(n-10) + a(n-12) + a(n-13) + a(n-15) - a(n-17). - Harvey P. Dale, Dec 19 2011

%t CoefficientList[Series[1/((1-x^2)(1-x^4)(1-x^5)(1-x^6)),{x,0,60}],x] (* _Harvey P. Dale_, Dec 19 2011 *)

%o (PARI) Vec(1/((1-x^2)*(1-x^4)*(1-x^5)*(1-x^6)) + O(x^80)) \\ _Jinyuan Wang_, Mar 15 2020

%K nonn,easy

%O 0,5

%A _N. J. A. Sloane_

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Last modified July 30 10:27 EDT 2021. Contains 346359 sequences. (Running on oeis4.)