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A109220 Expansion of (1+x-x^2)/(1-2x-2x^2+x^4). 0

%I #6 Jun 13 2015 00:51:51

%S 1,3,7,20,53,143,385,1036,2789,7507,20207,54392,146409,394095,1060801,

%T 2855400,7685993,20688691,55688567,149899116,403489373,1086088287,

%U 2923466753,7869210964,21181866061,57016065763,153472396895

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

%C Transform of 2^n under matrix A108756.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,2,0,-1).

%F a(n)=2a(n-1)+2a(n-2)-a(n-4); a(n)=a(n)=sum{k=0..n, binomial(floor((n+k+1)/2)+k, floor((n+k)/2)-k)*2^k}.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jun 22 2005

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Last modified April 24 10:53 EDT 2024. Contains 371936 sequences. (Running on oeis4.)