The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A059853 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A059853

Period of continued fraction for sqrt(n^2+3), n >= 2.
(history; published version)

#20 by N. J. A. Sloane at Fri Aug 16 23:12:47 EDT 2024

STATUS

proposed

approved

#19 by Jason Yuen at Fri Aug 16 22:25:28 EDT 2024

STATUS

editing

proposed

#18 by Jason Yuen at Fri Aug 16 22:25:24 EDT 2024

EXAMPLE

sqrt(35^2+3) = [35; [23, 2, 1, 7, 8, 1, 1, 1, 2, 2, 1, 1, 5, 3, 1, 16, 1, 3, 5, 1, 1, 2, 2, 1, 1, 1, 8, 7, 1, 2, 23, 70], so a(35) = 32.

STATUS

approved

editing

#17 by OEIS Server at Wed Jul 10 02:57:16 EDT 2024

LINKS

Amiram Eldar, <a href="/A059853/b059853_1.txt">Table of n, a(n) for n = 2..10000</a>

#16 by Joerg Arndt at Wed Jul 10 02:57:16 EDT 2024

STATUS

reviewed

approved

Discussion

Wed Jul 10

02:57

OEIS Server: Installed first b-file as b059853.txt.

#15 by Michel Marcus at Wed Jul 10 01:24:17 EDT 2024

STATUS

proposed

reviewed

#14 by Amiram Eldar at Wed Jul 10 00:50:48 EDT 2024

STATUS

editing

proposed

#13 by Amiram Eldar at Wed Jul 10 00:44:09 EDT 2024

MATHEMATICA

a[n_] := Length[ContinuedFraction[Sqrt[n^2 + 3]][[2]]]; Array[a, 100, 2] (* Amiram Eldar, Jul 10 2024 *)

#12 by Amiram Eldar at Wed Jul 10 00:43:51 EDT 2024

LINKS

Amiram Eldar, <a href="/A059853/b059853_1.txt">Table of n, a(n) for n = 2..10000</a>

STATUS

approved

editing

#11 by Susanna Cuyler at Sat May 01 06:48:34 EDT 2021

STATUS

proposed

approved