OFFSET
0,1
COMMENTS
This constant also equals lim_{n->oo} (- n + Integral_{x=0..1} (Gamma(x)^(n/(n+1)) dx.)
LINKS
EXAMPLE
constant = 0.75330609769215909464793383719098349655904333768916844598
MATHEMATICA
t = 1 + NIntegrate[(Gamma[1 + x] - 1)/x, {x, 0, 1}, WorkingPrecision -> 140]
RealDigits[t][[1]]
PROG
(PARI) 1 + intnum(x=0, 1, (gamma(1+x)-1)/x) \\ Michel Marcus, Jul 04 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 03 2020
STATUS
approved