The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A247017

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A247017

Decimal expansion of integral_{0..infinity} exp(-x^2)*log(x) dx.
(history; published version)

#18 by Harvey P. Dale at Fri Mar 29 10:58:38 EDT 2024

STATUS

editing

approved

#17 by Harvey P. Dale at Fri Mar 29 10:58:36 EDT 2024

MATHEMATICA

RealDigits[NIntegrate[Exp[-x^2]Log[x], {x, 0, \[Infinity]}, WorkingPrecision->120], 10, 120][[1]] (* Harvey P. Dale, Mar 29 2024 *)

STATUS

approved

editing

#16 by N. J. A. Sloane at Fri Jun 02 07:03:16 EDT 2017

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reviewed

approved

#15 by Joerg Arndt at Fri Jun 02 03:34:04 EDT 2017

STATUS

proposed

reviewed

#14 by G. C. Greubel at Fri Jun 02 01:37:31 EDT 2017

STATUS

editing

proposed

#13 by G. C. Greubel at Fri Jun 02 01:37:20 EDT 2017

LINKS

G. C. Greubel, <a href="/A247017/b247017.txt">Table of n, a(n) for n = 0..5000</a>

FORMULA

Equals -(1/4)*sqrt(Pi)*(EulerGamma + 2*log(2)).

STATUS

approved

editing

#12 by Bruno Berselli at Wed Sep 10 09:17:30 EDT 2014

STATUS

reviewed

approved

#11 by Joerg Arndt at Wed Sep 10 07:07:11 EDT 2014

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proposed

reviewed

#10 by Jean-François Alcover at Wed Sep 10 04:16:47 EDT 2014

STATUS

editing

proposed

#9 by Jean-François Alcover at Wed Sep 10 04:15:28 EDT 2014

EXAMPLE

-0.87005772672831550673464879953608743750810733362594...

PROG

(PARI) -(1/4)*sqrt(Pi)*(Euler + 2*log(2)) \\ Michel Marcus, Sep 09 2014

STATUS

reviewed

editing

Discussion

Wed Sep 10

04:16

Jean-François Alcover: Added minus sign where missing