OFFSET
0,2
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..925
FORMULA
a(n) = numerator of (-3)^n*sqrt(Pi)/(Gamma(1/2-n)*Gamma(1+n)).
From Robert Israel, Apr 07 2017: (Start)
a(n) = 3*(2*n-1)*a(n-1)/A000265(n) for n >= 1.
a(n) = 3^n*binomial(2n,n)/A001316(n). (End)
MAPLE
A[0]:= 1:
for n from 1 to 100 do A[n]:=3*(2*n-1)*2^padic:-ordp(n, 2)/n*A[n-1] od:
seq(A[i], i=0..100); # Robert Israel, Apr 07 2017
MATHEMATICA
Numerator[Table[(-3)^n*Sqrt[Pi]/(Gamma[1/2-n]*Gamma[1+n]), {n, 0, 20}]]
PROG
(PARI) for(n=0, 10, print1(numerator((3/4)^n*binomial(2*n, n)), ", ")) \\ G. C. Greubel, Jun 06 2017
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Ralf Steiner, Apr 07 2017
STATUS
approved