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A327121 Decimal expansion of Sum_{k>=1} 1/k + exp(k) * Ei(-k), where Ei(x) is the exponential integral of the first kind. 0
8, 4, 3, 3, 0, 2, 1, 0, 7, 5, 3, 1, 9, 7, 7, 9, 6, 4, 0, 9, 6, 9, 9, 6, 8, 1, 7, 1, 5, 4, 7, 6, 8, 6, 8, 3, 3, 8, 3, 5, 7, 4, 9, 2, 4, 2, 5, 2, 9, 2, 5, 6, 1, 6, 7, 3, 0, 6, 5, 1, 6, 0, 5, 1, 4, 8, 4, 2, 6, 1, 2, 9, 0, 7, 9, 2, 0, 4, 3, 6, 3, 8, 5, 9, 0, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

This constant is introduced in the paper by Sampedro.

LINKS

Table of n, a(n) for n=0..86.

Juan Carlos Sampedro, On a new constant related to Euler's constant, The Ramanujan Journal, Vol. 46, No. 1 (2018), pp. 77-89.

Eric Weisstein's World of Mathematics, Exponential Integral.

FORMULA

Equals Integral_{x=0..oo} log(Gamma(x)) * exp(-x) dx. See the paper by Sampedro for other formulas.

EXAMPLE

0.843302107531977964096996817154768683383574924252925...

MATHEMATICA

RealDigits[N[Integrate[Exp[-x]*Log[Gamma[x]], {x, 0, Infinity}], 100], 10, 100][[1]]

CROSSREFS

Cf. A001620.

Sequence in context: A109595 A256782 A071832 * A091475 A197482 A292529

Adjacent sequences:  A327118 A327119 A327120 * A327122 A327123 A327124

KEYWORD

nonn,cons

AUTHOR

Amiram Eldar, Sep 14 2019

STATUS

approved

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Last modified January 28 01:55 EST 2022. Contains 350654 sequences. (Running on oeis4.)