The On-Line Encyclopedia of Integer Sequences® (OEIS®)

Revision History for A124118

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A124118

Decimal expansion of Sum_{i>=0} A004018(i)/2^i.
(history; published version)

#32 by Susanna Cuyler at Mon Jun 22 01:51:44 EDT 2020

STATUS

proposed

approved

#31 by Amiram Eldar at Mon Jun 22 01:48:01 EDT 2020

STATUS

editing

proposed

#30 by Amiram Eldar at Mon Jun 22 01:41:00 EDT 2020

MATHEMATICA

RealDigits[1 + 4*Sum[(-1)^n/(2^(2*n + 1) - 1), {n, 0, 200}], 10, 100][[1]] (* Amiram Eldar, Jun 22 2020 *)

#29 by Amiram Eldar at Mon Jun 22 01:37:46 EDT 2020

CROSSREFS

#28 by Amiram Eldar at Mon Jun 22 01:37:06 EDT 2020

REFERENCES

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, 6 ed., 2008, section 17.10, p. 340.

FORMULA

Equals 1 + 4 * Sum_{k>=0} (-1)^k/(2^(2*k+1) - 1). - Amiram Eldar, Jun 22 2020

STATUS

approved

editing

#27 by Joerg Arndt at Sun Nov 06 01:43:36 EST 2016

STATUS

reviewed

approved

#26 by Michel Marcus at Sun Nov 06 01:43:02 EST 2016

STATUS

proposed

reviewed

#25 by Jon E. Schoenfield at Sun Nov 06 01:31:29 EST 2016

STATUS

editing

proposed

#24 by Jon E. Schoenfield at Sun Nov 06 01:31:24 EST 2016

	DATA	`4, 5, 3, 2, 3, 7, 2, 0, 1, 4, 2, 5, 8, 9, 7, 4, 1, 0, 0, 8, 2, 7, 9, 5, 7, 1, 7, 8, 6, 6, 0, 4, 7, 1, 1, 9, 3, 5, 5, 7, 2, 2, 9, 3, 2, 6, 0, 8, 7, 8, 8, 7, 4, 1, 0, 0, 6, 7, 7, 3, 4, 8, 9, 4, 5, 6, 8, 5, 7, 7, 4, 7, 0, 0, 8, 3, 4, 2, 8, 5, 5, 1, 9, 5, 9, 0, 9`
	FORMULA	`Bailey & alii et al. point out the approximation Pi(1+2exp(-Pi^2/log(2))^2)/log(2), correct up to 23 decimal places. - Jean-François Alcover, Jun 27 2015`
	KEYWORD	`cons,nonn,more`
	STATUS	`approved` `editing`

#23 by Joerg Arndt at Mon Jul 11 12:16:44 EDT 2016

STATUS

proposed

approved

Last modified August 18 20:50 EDT 2024. Contains 375284 sequences. (Running on oeis4.)