A296769 Row sums of A296662.

1, 7, 38, 187, 874, 3958, 17548, 76627, 330818, 1415650, 6015316, 25413342, 106853668, 447472972, 1867450648, 7770342787, 32248174258, 133530264682, 551793690628, 2276098026922, 9373521044908, 38546133661492, 158301250009768, 649328801880622

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = 2^(1 + 2*n)*((2*Gamma(5/2 + n))/(sqrt(Pi)*Gamma(2 + n)) - 1).

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

a(n) = A000531(n+1). - R. J. Mathar, Jan 03 2018

a(n) = A033876(n)-2^(2*n+1). - R. J. Mathar, Jan 03 2018

Maple

a := n -> 2^(1 + 2*n)*((2*GAMMA(5/2 + n))/(sqrt(Pi)*GAMMA(2 + n)) - 1):
seq(a(n), n=0..23);
# alternative
A296769 := proc(n)
    2^(2*n)*(doublefactorial(2*n+3)/(1+n)/doublefactorial(2*n)-2) ;
end proc:
seq(A296769(n), n=0..10) ; # R. J. Mathar, Jan 03 2018

Crossrefs

Cf. A000531, A296662, bisection of A296663.

Sequence in context: A114290 A277912 A000531 * A241524 A291822 A099453

Adjacent sequences: A296766 A296767 A296768 * A296770 A296771 A296772

Keyword

nonn

Author

Peter Luschny, Dec 20 2017

Status

approved