The On-Line Encyclopedia of Integer Sequences (OEIS)

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A041227

Denominators of continued fraction convergents to sqrt(125).
(history; published version)

#24 by Charles R Greathouse IV at Thu Sep 08 08:44:54 EDT 2022

PROG

(MAGMAMagma) I:=[1, 5, 6, 11, 61, 1353, 6826, 8179, 15005, 83204]; [n le 10 select I[n] else 1364*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#23 by Harvey P. Dale at Fri Apr 29 18:41:42 EDT 2022

STATUS

editing

approved

#22 by Harvey P. Dale at Fri Apr 29 18:41:39 EDT 2022

MATHEMATICA

LinearRecurrence[{0, 0, 0, 0, 1364, 0, 0, 0, 0, 1}, {1, 5, 6, 11, 61, 1353, 6826, 8179, 15005, 83204}, 30] (* Harvey P. Dale, Apr 29 2022 *)

STATUS

approved

editing

#21 by Charles R Greathouse IV at Sat Jun 13 00:49:22 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1364,0,0,0,0,1).

Discussion

Sat Jun 13

00:49

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

#20 by Charles R Greathouse IV at Fri Jun 12 15:24:07 EDT 2015

LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,1364,0,0,0,0,1).

Discussion

Fri Jun 12

15:24

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

#19 by Bruno Berselli at Sat Dec 14 02:08:37 EST 2013

STATUS

reviewed

approved

#18 by Joerg Arndt at Sat Dec 14 01:59:50 EST 2013

STATUS

proposed

reviewed

#17 by Vincenzo Librandi at Fri Dec 13 03:44:33 EST 2013

STATUS

editing

proposed

#16 by Vincenzo Librandi at Fri Dec 13 03:44:01 EST 2013

LINKS

<a href="/index/Rea#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (0,0,0,0,1364,0,0,0,0,1).

FORMULA

a(n) = 1364*a(n-5) + a(n-10). - Vincenzo Librandi, Dec 13 2013

PROG

(MAGMA) I:=[1, 5, 6, 11, 61, 1353, 6826, 8179, 15005, 83204]; [n le 10 select I[n] else 1364*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 13 2013

#15 by Vincenzo Librandi at Fri Dec 13 03:39:17 EST 2013

LINKS

Vincenzo Librandi, <a href="/A041227/b041227.txt">Table of n, a(n) for n = 0..200</a>

MATHEMATICA

Denominator[Convergents[Sqrt[125], 30]] (* Vincenzo Librandi, Dec 13 2013 *)

CROSSREFS

Cf. A041226, A010186, A041019, A041047, A041091, A041151, A041227, A041319, A041427, A041551.

Cf. A041019, A041047, A041091, A041151, A041227, A041319, A041427 and A041551. - Johannes W. Meijer, Jun 12 2010

KEYWORD

nonn,cofr,easy,frac,easy

STATUS

approved

editing