A348573 -id:A348573 - cp's OEIS frontend

A347952 Decimal expansion of exp(1) * (gamma - Ei(-1)).

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

Offset: 1

Ilya Gutkovskiy, Oct 23 2021

			2.16538221532693635942098634849243056838142076774144369...

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

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

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

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

A353053 Decimal expansion of Pi * BesselY(0,2) / 2 - gamma * BesselJ(0,2).

Original entry on oeis.org

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

Offset: 0

Ilya Gutkovskiy, Apr 20 2022

			0.672462966936363624928336197862303184816824730553017...

Cf. A000796, A001008, A001044, A001620, A002805, A091681, A233090, A347952, A348573, A351164.

RealDigits[Pi BesselY[0, 2]/2 - EulerGamma BesselJ[0, 2], 10, 110] [[1]]

Pi*bessely(0,2)/2 - Euler*besselj(0,2) \\ Michel Marcus, Apr 20 2022

Equals Sum_{k>=1} (-1)^(k+1) * H(k) / (k!)^2, where H(k) is the k-th harmonic number.

cp's OEIS Frontend

A347952 Decimal expansion of exp(1) * (gamma - Ei(-1)).

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