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A296769 Row sums of A296662. 2
1, 7, 38, 187, 874, 3958, 17548, 76627, 330818, 1415650, 6015316, 25413342, 106853668, 447472972, 1867450648, 7770342787, 32248174258, 133530264682, 551793690628, 2276098026922, 9373521044908, 38546133661492, 158301250009768, 649328801880622 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 03:37 EDT 2019. Contains 328040 sequences. (Running on oeis4.)