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Revision History for A002211

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Showing entries 1-10 | older changes
Continued fraction for Khintchine's constant.
(history; published version)
#45 by Charles R Greathouse IV at Sun Jan 24 16:14:58 EST 2016
STATUS

editing

approved

#44 by Charles R Greathouse IV at Sun Jan 24 16:14:53 EST 2016
PROG

From Harry J. Smith, May 15 2009: (Start)

(PARI) { default(realprecision, 1201); k=2\

.685452001065306445309714835481795693820382293994462953051152345\

5572188595371520028011411749318476979951534659052880900828976777\

1641096305179253348325966838185231542133211949962603932852204481\

9409618068664166428930847788062036073705350103367263357728904990\

4270702723451702625237023545810686318501032374655803775026442524\

8528694682341899491573066189872079941372355000579357366989339508\

7902124464207528974145914769301844905060179349938522547040420337\

7985639831015709022233910000220772509651332460444439191691460859\

6823482128324622829271012690697418234847767545734898625420339266\

2351862086778136650969658314699527183744805401219536666604964826\

9890827548115254721177330319675947383719393578106059230401890711\

3496246737068412217946810740608918276695667117166837405904739368\

8095345048999704717639045134323237715103219651503824698888324870\

9353994696082647818120566349467125784366645797409778483662049777\

7486827656970871631929385128993141995186116737926546205635059513\

8571376169712687229980532767327871051376395637190231452890030581\

3691090479967275757138504356505064159082099962340277905383418098\

5121278529455415101923273972716796875156245586879771758718269365\

9554502513041968186509380313038584352986863635162; x=contfrac(k); for (n=1, 1257, write("b002211.txt", n, " ", x[n])); } (End)

STATUS

approved

editing

#43 by N. J. A. Sloane at Fri Feb 27 23:14:16 EST 2015
STATUS

proposed

approved

#42 by Jon E. Schoenfield at Fri Feb 27 23:09:21 EST 2015
STATUS

editing

proposed

#41 by Jon E. Schoenfield at Fri Feb 27 23:09:19 EST 2015
COMMENTS

Incrementally larger terms in the continued fraction for Khintchine's constant: 1, 2, 5, 10, 24, 90, 770, 941, 11759, 54097, 231973, , ..., and they occur at 1, 2, 3, 10, 15, 23, 104, 1701, 2445, 18995, 60037, , . .. - Robert G. Wilson v, Dec 09 2013

PROG

Contribution from _From _Harry J. Smith_, May 15 2009: (Start)

AUTHOR
STATUS

approved

editing

#40 by T. D. Noe at Tue Dec 10 12:28:35 EST 2013
STATUS

proposed

approved

#39 by Michel Marcus at Mon Dec 09 10:43:56 EST 2013
STATUS

editing

proposed

Discussion
Mon Dec 09
11:31
Charles R Greathouse IV: I'm not a fan of links to papers behind paywalls.
#38 by Michel Marcus at Mon Dec 09 10:39:23 EST 2013
COMMENTS

Incrementally larger terms in the continued fraction for Khintchine's constant: 1, 2, 5, 10, 24, 90, 770, 941, 11759, 54097, 231973, …, and they occur at 1, 2, 3, 10, 15, 23, 104, 1701, 2445, 18995, 60037, …, . _- _Robert G. Wilson v_, Dec 09 2013

REFERENCES

D. Shanks, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370-371.

D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 66 (1959), 276-279.

J. W. Wrench, Jr. and D. Shanks, Questions concerning Khintchine's constant and the efficient computation of regular continued fractions, Math. Comp., 20 (1966), 444-448.

LINKS

D. Shanks and J. W. Wrench, Jr., <a href="http://www.jstor.org/stable/2309633">Khintchine's constant</a>, Amer. Math. Monthly, 66 (1959), 276-279.

J. W. Wrench, <a href="http://dx.doi.org/10.1090/S0025-5718-1960-0170455-1">Further evaluation of Khintchine's constant</a>, Math. Comp., 14 (1960), 370-371.

J. W. Wrench, Jr. and D. Shanks, <a href="http://www.jstor.org/stable/2003606">Questions concerning Khintchine's constant and the efficient computation of regular continued fractions</a>, Math. Comp., 20 (1966), 444-448.

STATUS

proposed

editing

Discussion
Mon Dec 09
10:43
Michel Marcus: MathComp author corrected.
#37 by Robert G. Wilson v at Mon Dec 09 09:45:43 EST 2013
STATUS

editing

proposed

#36 by Robert G. Wilson v at Mon Dec 09 09:45:31 EST 2013
COMMENTS

Incrementally larger terms in the continued fraction for Khintchine's constant: 1, 2, 5, 10, 24, 90, 770, 941, 11759, 54097, 231973, …, and they occur at 1, 2, 3, 10, 15, 23, 104, 1701, 2445, 18995, 60037, …, . Robert G. Wilson v, Dec 09 2013

STATUS

approved

editing