A335985 Decimal expansion of 1 + Integral_{x=0..1} (-1 + Gamma(1+x))/x dx.

7, 5, 3, 3, 0, 6, 0, 9, 7, 6, 9, 2, 1, 5, 9, 0, 9, 4, 6, 4, 7, 9, 3, 3, 8, 3, 7, 1, 9, 0, 9, 8, 3, 4, 9, 6, 5, 5, 9, 0, 4, 3, 3, 3, 7, 6, 8, 9, 1, 6, 8, 4, 4, 5, 9, 8, 4, 5, 7, 5, 2, 1, 2, 5, 1, 6, 1, 9, 8, 8, 3, 8, 5, 5, 6, 2, 0, 0, 5, 8, 6, 0, 5, 2, 1, 6

Offset

0,1

Comments

This constant also equals lim_{n->oo} (- n + Integral_{x=0..1} (Gamma(x)^(n/(n+1)) dx.)

Links

Table of n, a(n) for n=0..85.

MathOverflow, Possible limit involving the gamma function

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

Cf. A335983.

Sequence in context: A155816 A308414 A360895 * A093824 A203142 A176974

Adjacent sequences: A335982 A335983 A335984 * A335986 A335987 A335988

Keyword

nonn,cons

Author

Clark Kimberling, Jul 03 2020

Status

approved