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A335985 Decimal expansion of 1 + Integral_{x=0..1} (-1 + Gamma(1+x))/x dx. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A330920 A155816 A308414 * A093824 A203142 A176974

Adjacent sequences:  A335982 A335983 A335984 * A335986 A335988 A335989

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 03 2020

STATUS

approved

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Last modified November 26 23:41 EST 2020. Contains 338670 sequences. (Running on oeis4.)