

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
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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



