The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A109374

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A109374

Irregular table read by rows: Row n is the terms of the continued fraction for prime(n+1)/prime(n).
(history; published version)

#21 by Ray Chandler at Sun Oct 13 09:44:26 EDT 2019

STATUS

editing

approved

#20 by Ray Chandler at Sun Oct 13 09:44:22 EDT 2019

MATHEMATICA

Flatten[Table[ContinuedFraction[Prime[n + 1]/Prime[n]], {n, 30}]] (* _Ray Chandler_, Aug 25 2005 *)

STATUS

approved

editing

#19 by Susanna Cuyler at Tue May 29 20:37:43 EDT 2018

STATUS

proposed

approved

#18 by Robert Israel at Tue May 29 20:36:21 EDT 2018

STATUS

editing

proposed

#17 by Robert Israel at Tue May 29 20:35:28 EDT 2018

COMMENTS

If n is in A029707, row n is [1, (prime(n)-1)/2, 2]. - Robert Israel, May 29 2018

MAPLE

seq(op(convert(ithprime(n+1)/ithprime(n), confrac, 'convergents')), n=1..100); # Robert Israel, May 29 2018

CROSSREFS

Cf. A029707, A071866, A110021, A112323, A112324, A112768.

#16 by Robert Israel at Tue May 29 20:18:34 EDT 2018

KEYWORD

nonn,tabf,changed,look

#15 by Robert Israel at Tue May 29 20:17:38 EDT 2018

LINKS

Robert Israel, <a href="/A109374/b109374.txt">Table of n, a(n) for n = 1..10003</a> (rows 1 to 2533, flattened)

MAPLE

seq(op(convert(ithprime(n+1)/ithprime(n), confrac, 'convergents')), n=1..100); # Robert Israel, May 29 2018

STATUS

approved

editing

#14 by Charles R Greathouse IV at Tue Mar 11 01:32:15 EDT 2014

AUTHOR

__Leroy Quet__, , Aug 24 2005

EXTENSIONS

Definition corrected by __Leroy Quet__, , May 10 2010

Discussion

Tue Mar 11

01:32

OEIS Server: https://oeis.org/edit/global/2122

#13 by N. J. A. Sloane at Wed Feb 05 20:18:13 EST 2014

AUTHOR

__Leroy Quet_, _, Aug 24 2005

EXTENSIONS

Definition corrected by __Leroy Quet_, _, May 10 2010

Discussion

Wed Feb 05

20:18

OEIS Server: https://oeis.org/edit/global/2118

#12 by N. J. A. Sloane at Wed Feb 05 20:11:55 EST 2014

AUTHOR

_Leroy Quet, _, Aug 24 2005

EXTENSIONS

Definition corrected by _Leroy Quet, _, May 10 2010

Discussion

Wed Feb 05

20:11

OEIS Server: https://oeis.org/edit/global/2117