The On-Line Encyclopedia of Integer Sequences (OEIS)

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A041338

Numerators of continued fraction convergents to sqrt(183).
(history; published version)

#14 by Harvey P. Dale at Fri Nov 10 11:00:14 EST 2017

STATUS

editing

approved

#13 by Harvey P. Dale at Fri Nov 10 11:00:11 EST 2017

MATHEMATICA

LinearRecurrence[{0, 0, 0, 0, 0, 974, 0, 0, 0, 0, 0, -1}, {13, 14, 27, 230, 257, 487, 12919, 13406, 26325, 224006, 250331, 474337}, 30] (* Harvey P. Dale, Nov 10 2017 *)

STATUS

approved

editing

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

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,974,0,0,0,0,0,-1).

Discussion

Sat Jun 13

00:49

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

#11 by Charles R Greathouse IV at Fri Jun 12 15:24:08 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,974,0,0,0,0,0,-1).

Discussion

Fri Jun 12

15:24

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

#10 by T. D. Noe at Wed Nov 06 15:04:14 EST 2013

STATUS

proposed

approved

#9 by Colin Barker at Wed Nov 06 11:28:58 EST 2013

STATUS

editing

proposed

#8 by Colin Barker at Wed Nov 06 11:28:43 EST 2013

DATA

13, 14, 27, 230, 257, 487, 12919, 13406, 26325, 224006, 250331, 474337, 12583093, 13057430, 25640523, 218181614, 243822137, 462003751, 12255919663, 12717923414, 24973843077, 212508668030, 237482511107, 449991179137, 11937253168669, 12387244347806

LINKS

<a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,974,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11-13*x^10+14*x^9-27*x^8+230*x^7-257*x^6-487*x^5-257*x^4-230*x^3-27*x^2-14*x-13) / (x^12-974*x^6+1). - Colin Barker, Nov 06 2013

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

editing

#7 by Joerg Arndt at Fri Nov 01 08:44:03 EDT 2013

STATUS

proposed

approved

#6 by Vincenzo Librandi at Fri Nov 01 07:34:14 EDT 2013

STATUS

editing

proposed

#5 by Vincenzo Librandi at Fri Nov 01 07:34:08 EDT 2013

LINKS

Vincenzo Librandi, <a href="/A041338/b041338.txt">Table of n, a(n) for n = 0..200</a>

MATHEMATICA

Numerator[Convergents[Sqrt[183], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

KEYWORD

nonn,cofr,frac,easy

STATUS

approved

editing