The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A245256

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Decimal expansion of y_2, the second of four non-explicit constants recursively derived from Khintchine's [Khinchin's] constant.
(history; published version)

#9 by Bruno Berselli at Thu Oct 31 05:30:24 EDT 2019

STATUS

proposed

approved

#8 by Michel Marcus at Thu Oct 31 03:30:34 EDT 2019

STATUS

editing

proposed

#7 by Michel Marcus at Thu Oct 31 03:30:31 EDT 2019

LINKS

_Herman P. Robinson_, , <a href="http://www.escholarship.org/uc/item/2t95c0bp">Mathematical Constants.</a>

STATUS

approved

editing

#6 by N. J. A. Sloane at Thu Jun 18 12:28:32 EDT 2015

LINKS

_Herman P. Robinson, _, <a href="http://www.escholarship.org/uc/item/2t95c0bp">Mathematical Constants.</a>

Discussion

Thu Jun 18

12:28

OEIS Server: https://oeis.org/edit/global/2445

#5 by N. J. A. Sloane at Thu Jun 18 12:23:56 EDT 2015

LINKS

H. Herman P. Robinson, <a href="http://www.escholarship.org/uc/item/2t95c0bp">Mathematical Constants.</a>

Discussion

Thu Jun 18

12:23

OEIS Server: https://oeis.org/edit/global/2444

#4 by N. J. A. Sloane at Tue Jul 15 07:07:43 EDT 2014

STATUS

proposed

approved

#3 by Jean-François Alcover at Tue Jul 15 07:04:21 EDT 2014

STATUS

editing

proposed

#2 by Jean-François Alcover at Tue Jul 15 06:38:50 EDT 2014

NAME

allocated for JeanDecimal expansion of y_2, the second of four non-François Alcoverexplicit constants recursively derived from Khintchine's [Khinchin's] constant.

DATA

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

OFFSET

1,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 1.8.1 Alternative representations [of real numbers], p. 63.

LINKS

H. P. Robinson, <a href="http://www.escholarship.org/uc/item/2t95c0bp">Mathematical Constants.</a>

EXAMPLE

3.30384219630718251298905725146305146363000806852201418586337176944971...

MATHEMATICA

K = Khinchin; a[0] = pi[0] = 3; pi[n_] := Product[a[i], {i, 0, n}]; Clear[a]; a[n_] := a[n] = Floor[K^(n+1)/pi[n-1]] + 1; FromContinuedFraction[Array[a, 300, 0]] // RealDigits[#, 10, 102]& // First

CROSSREFS

Cf. A002210, A245255, A245257, A245258.

KEYWORD

allocated

nonn,cons

AUTHOR

Jean-François Alcover, Jul 15 2014

STATUS

approved

editing

#1 by Jean-François Alcover at Tue Jul 15 06:25:24 EDT 2014

NAME

allocated for Jean-François Alcover

KEYWORD

allocated

STATUS

approved