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Revision History for A030167

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A030167

Continued fraction expansion of the Champernowne constant 0.1234567891011121314...
(history; published version)

#41 by Charles R Greathouse IV at Sun Feb 16 08:32:35 EST 2025

LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/ChampernowneConstant.html">Champernowne Constant.</a>

Discussion

Sun Feb 16

08:32

OEIS Server: https://oeis.org/edit/global/3014

#40 by N. J. A. Sloane at Fri Oct 25 12:36:05 EDT 2019

STATUS

proposed

approved

#39 by M. F. Hasler at Fri Oct 25 11:34:23 EDT 2019

STATUS

editing

proposed

#38 by M. F. Hasler at Fri Oct 25 11:32:15 EDT 2019

KEYWORD

nonn,cofr,nice,easy,changed

Discussion

Fri Oct 25

11:34

M. F. Hasler: (If it takes 15 hours and huge RAM to compute 10000 terms ... if this is "easy" then 99.9% of the OEIS sequences should also have that KW...)

#37 by M. F. Hasler at Fri Oct 25 11:14:33 EDT 2019

NAME

Continued fraction expansion of the Champernowne constant 0.1234567891011121314...

COMMENTS

The next term, a(18) = 457540111...783010987 has 166 digits.

It is followed by a(19 .. 39) = (6, 1, 1, 21, 1, 9, 1, 1, 2, 3, 1, 7, 2, 1, 83, 1, 156, 4, 58, 8, 54). - M. F. Hasler, Oct 25 2019

a(4140) = 445735380...113172423 has 2504 digits. - Harvey P. Dale, May 23 2015, index corrected by _M. F. Hasler_, Oct 25 2019

EXAMPLE

This is the continued fraction of the number 0.123456789101112131415... whose base-10 representation character string is decimals are obtained by appending to the string "0." concatenating the base-10 representation character strings representations of all positive integers successively.

EXTENSIONS

Edited by Daniel Forgues, Apr 01 2010, _M. F. Hasler_, Oct 25 2019

STATUS

approved

editing

Discussion

Fri Oct 25

11:31

M. F. Hasler: I think "easy" is not adequate.

#36 by Jon E. Schoenfield at Sun Jan 03 02:48:30 EST 2016

STATUS

editing

approved

#35 by Jon E. Schoenfield at Sun Jan 03 02:48:26 EST 2016

EXAMPLE

This is the number 0.123456789101112131415... whose base -10 representation character string is obtained by appending to the string "0." the base -10 representation character strings of all positive integers successively.

STATUS

approved

editing

#34 by Bruno Berselli at Mon Jun 15 04:06:47 EDT 2015

STATUS

proposed

approved

#33 by Michel Marcus at Mon Jun 15 00:15:48 EDT 2015

STATUS

editing

proposed

#32 by Michel Marcus at Mon Jun 15 00:15:44 EDT 2015

LINKS

Harry J. Smith, <a href="/A030167/b030167.txt">Table of n, a(n) for n=0,...,39</a> (see the a-file for further terms)

Harry J. Smith, <a href="/A030167/a030167.txt">Table of n, a(n) for n=0,...,161</a>

STATUS

proposed

editing