This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A296769 #14 Jan 03 2018 07:36:24 %S A296769 1,7,38,187,874,3958,17548,76627,330818,1415650,6015316,25413342, %T A296769 106853668,447472972,1867450648,7770342787,32248174258,133530264682, %U A296769 551793690628,2276098026922,9373521044908,38546133661492,158301250009768,649328801880622 %N A296769 Row sums of A296662. %F A296769 a(n) = 2^(1 + 2*n)*((2*Gamma(5/2 + n))/(sqrt(Pi)*Gamma(2 + n)) - 1). %F A296769 a(n) ~ 4^(n+1)*(sqrt(n/Pi) - 1/2). %F A296769 a(n) = A000531(n+1). - _R. J. Mathar_, Jan 03 2018 %F A296769 a(n) = A033876(n)-2^(2*n+1). - _R. J. Mathar_, Jan 03 2018 %p A296769 a := n -> 2^(1 + 2*n)*((2*GAMMA(5/2 + n))/(sqrt(Pi)*GAMMA(2 + n)) - 1): %p A296769 seq(a(n), n=0..23); %p A296769 # alternative %p A296769 A296769 := proc(n) %p A296769 2^(2*n)*(doublefactorial(2*n+3)/(1+n)/doublefactorial(2*n)-2) ; %p A296769 end proc: %p A296769 seq(A296769(n),n=0..10) ; # _R. J. Mathar_, Jan 03 2018 %Y A296769 Cf. A000531, A296662, bisection of A296663. %K A296769 nonn %O A296769 0,2 %A A296769 _Peter Luschny_, Dec 20 2017