A296665 Row sums of A296666.

1, 4, 20, 96, 444, 2000, 8840, 38528, 166124, 710256, 3016056, 12736064, 53530840, 224107936, 935062544, 3890018816, 16141765964, 66829954736, 276135664664, 1138932645056, 4690042582664, 19285299964256, 79196366286704, 324835930747136, 1330905207444344

Offset

0,2

Links

Table of n, a(n) for n=0..24.

Formula

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

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

Maple

a := n -> 4^n*((2*(n + 1)*GAMMA(n + 1/2))/(sqrt(Pi)*GAMMA(n + 1)) - 1);
seq(a(n), n=0..24);

Crossrefs

Cf. A296666, bisection of A296663.

Sequence in context: A099025 A008353 A250162 * A057087 A151254 A232493

Adjacent sequences: A296662 A296663 A296664 * A296666 A296667 A296668

Keyword

nonn

Author

Peter Luschny, Dec 19 2017

Status

approved