The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A074758

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A074758

Decimal expansion of zeta'(1/2)/zeta(1/2).
(history; published version)

#24 by Vaclav Kotesovec at Thu Feb 18 05:11:12 EST 2021

STATUS

editing

approved

#23 by Vaclav Kotesovec at Thu Feb 18 05:09:02 EST 2021

MATHEMATICA

RealDigits[Zeta'[1/2]/Zeta[1/2], 10, 120][[1]] (* Vaclav Kotesovec, Feb 18 2021 *)

#22 by Vaclav Kotesovec at Thu Feb 18 05:07:59 EST 2021

EXAMPLE

2.686091709612832791116478748724871144507269625811776921584451315495547282857339...

STATUS

approved

editing

#21 by Peter Luschny at Mon Jul 31 08:27:06 EDT 2017

STATUS

proposed

approved

#20 by Michel Marcus at Mon Jul 31 04:42:42 EDT 2017

STATUS

editing

proposed

#19 by Michel Marcus at Mon Jul 31 04:42:39 EDT 2017

PROG

(PARI) log(8*Pi)/2 + Euler/2 + Pi/4 \\ Michel Marcus, Jul 30 2017

STATUS

proposed

editing

#18 by Peter Luschny at Mon Jul 31 04:37:22 EDT 2017

STATUS

editing

proposed

#17 by Peter Luschny at Mon Jul 31 04:36:43 EDT 2017

FORMULA

Equals log(8*Pi)/2 +Gamma EulerGamma/2 + Pi/4 = 2.6860917...

Equals (1/2 ) * (log(Pi) - gammaGamma'(1/4) /gamma Gamma(1/4)). - Mats Granvik, Jul 30 2017

STATUS

proposed

editing

#16 by Michel Marcus at Mon Jul 31 04:04:09 EDT 2017

STATUS

editing

proposed

#15 by Michel Marcus at Mon Jul 31 04:03:49 EDT 2017

FORMULA

zeta'(1/2)/zeta(1/2) = Equals log(8*Pi)/2+Gamma/2+Pi/4 = 2.6860917...

zeta'(1/2)/zeta(1/2) = Equals 1/2 (log(Pi) - gamma'(1/4)/gamma(1/4)). - Mats Granvik, Jul 30 2017

STATUS

reviewed

editing

Discussion

Mon Jul 31

04:04

Michel Marcus: 2nd thought