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Revision History for A239069

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Showing entries 1-10 | older changes

A239069

Decimal expansion of gamma - Ei(-1).
(history; published version)

#31 by Susanna Cuyler at Fri Jun 25 06:19:50 EDT 2021

STATUS

proposed

approved

#30 by Michel Marcus at Fri Jun 25 05:09:56 EDT 2021

STATUS

editing

proposed

#29 by Michel Marcus at Fri Jun 25 05:09:51 EDT 2021

COMMENTS

Equals (the Euler-Mascheroni constant) - (the exponential integral at -1) = A001620 + A099285.

Equals (the Euler-Mascheroni constant) + (Gompertz's constant / e) = A001620 + (A073003 / A001113).

See those crossrefs sequences for other comments, references, links, and formulas.

FORMULA

Equals (the Euler-Mascheroni constant) - (the exponential integral at -1) = A001620 + A099285.

Equals (the Euler-Mascheroni constant) + (Gompertz's constant / e) = A001620 + (A073003 / A001113).

STATUS

proposed

editing

#28 by Amiram Eldar at Fri Jun 25 04:56:13 EDT 2021

STATUS

editing

proposed

#27 by Amiram Eldar at Fri Jun 25 04:40:55 EDT 2021

FORMULA

Equals (1/e) * Sum_{k>=1} H(k)/k!, where H(k) = A001008(k)/A002805(k) is the k-th harmonic number. - Amiram Eldar, Jun 25 2021

CROSSREFS

Cf. A001008, A001113, A001563, A001620, A002805, A073003, A099285.

STATUS

approved

editing

#26 by Amiram Eldar at Sat Aug 01 16:12:12 EDT 2020

STATUS

editing

approved

#25 by Amiram Eldar at Sat Aug 01 16:12:09 EDT 2020

COMMENTS

Equals -Integral_{x=0..1} log(x)/exp(x) dx. - Amiram Eldar, Aug 01 2020

FORMULA

Equals -Integral_{x=0..1} log(x)/exp(x) dx. - Amiram Eldar, Aug 01 2020

STATUS

approved

editing

#24 by Bruno Berselli at Sat Aug 01 11:38:22 EDT 2020

STATUS

proposed

approved

#23 by Michel Marcus at Sat Aug 01 11:15:13 EDT 2020

STATUS

editing

proposed

#22 by Michel Marcus at Sat Aug 01 11:15:07 EDT 2020

PROG

(PARI) Euler + eint1(1, 1)[1] \\ Michel Marcus, Aug 01 2020

STATUS

approved

editing