OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000 (terms 0..200 from Vincenzo Librandi)
FORMULA
a(n) = 4^n*(n/4 + Gamma(n+1/2)/(sqrt(Pi)*Gamma(n+1))).
G.f.: x/(1 - 4*x)^2 + 1/sqrt(1 - 4*x). - Ilya Gutkovskiy, Feb 15 2017
MATHEMATICA
Table[4^n (n/4 + Binomial[n - 1/2, -1/2]), {n, 0, 40}] (* Vincenzo Librandi, Apr 25 2014 *)
PROG
(PARI) for(n=0, 25, print1(round(4^n*(n/4 + gamma(n+1/2)/(sqrt(Pi)*gamma(n+1)))), ", ")) \\ G. C. Greubel, Feb 14 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Peter Luschny, Apr 24 2014
STATUS
approved