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Row sums of A296666.
1

%I #13 Dec 22 2017 06:11:39

%S 1,4,20,96,444,2000,8840,38528,166124,710256,3016056,12736064,

%T 53530840,224107936,935062544,3890018816,16141765964,66829954736,

%U 276135664664,1138932645056,4690042582664,19285299964256,79196366286704,324835930747136,1330905207444344

%N Row sums of A296666.

%F a(n) = 4^n*((2*(n + 1)*Gamma(n + 1/2))/(sqrt(Pi)*Gamma(n + 1)) - 1).

%F a(n) ~ 4^n*((2*n + 7/4)/sqrt(n*Pi) - 1).

%p a := n -> 4^n*((2*(n + 1)*GAMMA(n + 1/2))/(sqrt(Pi)*GAMMA(n + 1)) - 1);

%p seq(a(n), n=0..24);

%Y Cf. A296666, bisection of A296663.

%K nonn

%O 0,2

%A _Peter Luschny_, Dec 19 2017