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A129369 Expansion of 1/sqrt(1-4x)-x/sqrt(1-4x^2). 4

%I #5 Nov 21 2013 12:49:04

%S 1,1,6,18,70,246,924,3412,12870,48550,184756,705180,2704156,10399676,

%T 40116600,155114088,601080390,2333593350,9075135300,35345215180,

%U 137846528820,538257689684,2104098963720,8233430022168,32247603683100

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

%C Partial sums are A129368.

%F a(n)=C(2n,n)-C(n-1,(n-1)/2)(1-(-1)^n)/2;

%t CoefficientList[Series[1/Sqrt[1-4x]-x/Sqrt[1-4x^2],{x,0,30}],x] (* _Harvey P. Dale_, Feb 02 2012 *)

%K easy,nonn

%O 0,3

%A _Paul Barry_, Apr 11 2007

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Last modified September 24 22:14 EDT 2023. Contains 365582 sequences. (Running on oeis4.)