The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A041078 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A041078

Numerators of continued fraction convergents to sqrt(46).
(history; published version)

#25 by N. J. A. Sloane at Wed Sep 26 22:10:00 EDT 2018

STATUS

editing

approved

#24 by N. J. A. Sloane at Wed Sep 26 22:09:58 EDT 2018

LINKS

A. J. van der Poorten, <a href="https://web.archive.org/web/*/http://www-centre.mpce.mq.edu.au/alfpapers/a075.pdf">An introduction to continued fractions</a>, Unpublished.

A. J. van der Poorten, <a href="/A007400/a007400_4.pdf">An introduction to continued fractions</a>, Unpublished [Cached copy]

STATUS

approved

editing

#23 by Charles R Greathouse IV at Sat Jun 13 00:49:21 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,0,0,0,0,-1).

Discussion

Sat Jun 13

00:49

OEIS Server: https://oeis.org/edit/global/2439

#22 by Charles R Greathouse IV at Fri Jun 12 15:23:58 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,0,0,0,0,-1).

Discussion

Fri Jun 12

15:23

OEIS Server: https://oeis.org/edit/global/2436

#21 by Charles R Greathouse IV at Sun Aug 03 14:35:06 EDT 2014

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[46], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky, _, Mar 22 2011 *)

Discussion

Sun Aug 03

14:35

OEIS Server: https://oeis.org/edit/global/2279

#20 by Alois P. Heinz at Fri Oct 25 06:45:47 EDT 2013

STATUS

editing

approved

#19 by Alois P. Heinz at Fri Oct 25 06:45:26 EDT 2013

FORMULA

a(n) = 48670*a(n-12)-a(n-24). G.f.: -(x^23 -6*x^22 +7*x^21 -27*x^20 +34*x^19 -61*x^18 +156*x^17 -997*x^16 +2150*x^15 -3147*x^14 +5297*x^13 -19038*x^12 -24335*x^11 -19038*x^10 -5297*x^9 -3147*x^8 -2150*x^7 -997*x^6 -156*x^5 -61*x^4 -34*x^3 -27*x^2 -7*x-6) / (x^24-48670*x^12+1). [_- _Colin Barker_, Jul 19 2012]

MATHEMATICA

Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[46], n]]], {n, 1, 50}] (*From Vladimir Joseph Stephan Orlovsky, Mar 22 2011 *)

STATUS

proposed

editing

#18 by Michel Marcus at Fri Oct 25 03:16:52 EDT 2013

STATUS

editing

proposed

#17 by Michel Marcus at Fri Oct 25 03:16:42 EDT 2013

CROSSREFS

Cf. A010500, A041079.

STATUS

proposed

editing

#16 by Vincenzo Librandi at Fri Oct 25 02:25:50 EDT 2013

STATUS

editing

proposed