A348573 - OEIS

A348573

Decimal expansion of exp(-1) * (Ei(1) - gamma).

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..109.

FORMULA

Equals Sum_{k>=1} (-1)^(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

0.48482910699568764631040141422173057472446995282397321...

MATHEMATICA

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