OFFSET
1,3
LINKS
Henri Cohen, Fernando Rodriguez Villegas, and Don Zagier, Convergence Acceleration of Alternating Series, Exp. Math. 9 (1) (2000) 3-12.
Vaclav Kotesovec, Why do I get different results for the products of two identical expressions ?, Mathematica Stack Exchange, Jun 10 2024.
EXAMPLE
1.06215090557105728069683736293...
MAPLE
evalf(Product(2*k*GAMMA(1/(2*k - 1))/((2*k - 1)*GAMMA(1/(2*k))), k = 1..infinity), 120); # Vaclav Kotesovec, Jun 10 2024
PROG
(PARI) default(realprecision, 200); exp(sumpos(k=1, log(2*k) + log(gamma(1/(2*k-1))) - log(2*k-1) - log(gamma(1/(2*k))) )) \\ Vaclav Kotesovec, Jun 10 2024
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Jun 15 2023
EXTENSIONS
More terms from Vaclav Kotesovec, Jun 10 2024
STATUS
approved