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A347952 Decimal expansion of exp(1) * (gamma - Ei(-1)). 3
2, 1, 6, 5, 3, 8, 2, 2, 1, 5, 3, 2, 6, 9, 3, 6, 3, 5, 9, 4, 2, 0, 9, 8, 6, 3, 4, 8, 4, 9, 2, 4, 3, 0, 5, 6, 8, 3, 8, 1, 4, 2, 0, 7, 6, 7, 7, 4, 1, 4, 4, 3, 6, 9, 0, 2, 3, 0, 1, 3, 9, 1, 7, 1, 8, 9, 4, 9, 4, 2, 4, 2, 5, 7, 9, 7, 7, 9, 8, 7, 1, 7, 9, 7, 6, 9, 2, 6, 0, 3, 5, 1, 4, 1, 5, 5, 6, 7, 5, 7, 2, 6, 7, 6, 4, 7, 5, 3, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..110.

FORMULA

Equals Sum_{k>=1} H(k) / k!, where H(k) is the k-th harmonic number.

Equals -Integral_{x=0..1} exp(x)*log(1-x) dx. - Amiram Eldar, Oct 23 2021

EXAMPLE

2.16538221532693635942098634849243056838142076774144369...

MATHEMATICA

RealDigits[Exp[1] (EulerGamma - ExpIntegralEi[-1]), 10, 110] [[1]]

PROG

(PARI) exp(1)*(Euler + eint1(1)) \\ Michel Marcus, Oct 24 2021

CROSSREFS

Cf. A001008, A001113, A001620, A002805, A073003, A099285, A239069, A244274, A348573.

Sequence in context: A118980 A351385 A090665 * A346306 A021826 A331435

Adjacent sequences:  A347949 A347950 A347951 * A347953 A347954 A347955

KEYWORD

nonn,cons

AUTHOR

Ilya Gutkovskiy, Oct 23 2021

STATUS

approved

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Last modified May 26 11:30 EDT 2022. Contains 354086 sequences. (Running on oeis4.)