The On-Line Encyclopedia of Integer Sequences (OEIS)

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A041317

Denominators of continued fraction convergents to sqrt(172).
(history; published version)

#13 by Ray Chandler at Sun Jul 16 15:18:17 EDT 2023

STATUS

editing

approved

#12 by Ray Chandler at Sun Jul 16 15:18:14 EDT 2023

LINKS

<a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48497294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

STATUS

approved

editing

#11 by Michel Marcus at Sun Dec 15 05:24:33 EST 2013

STATUS

reviewed

approved

#10 by Bruno Berselli at Sun Dec 15 03:07:01 EST 2013

STATUS

proposed

reviewed

#9 by Bruno Berselli at Sun Dec 15 03:06:50 EST 2013

STATUS

editing

proposed

#8 by Bruno Berselli at Sun Dec 15 03:06:43 EST 2013

FORMULA

a(n) = 48497294*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Dec 15 2013]

STATUS

proposed

editing

#7 by Vincenzo Librandi at Sun Dec 15 03:02:17 EST 2013

STATUS

editing

proposed

#6 by Vincenzo Librandi at Sun Dec 15 03:02:12 EST 2013

DATA

1, 8, 9, 26, 61, 87, 148, 531, 3334, 10533, 13867, 24400, 62667, 149734, 212401, 1848942, 48284893, 388128086, 436412979, 1260954044, 2958321067, 4219275111, 7177596178, 25752063645, 161689978048, 510821997789, 672511975837, 1183333973626, 3039179923089

EXTENSIONS

More terms from Vincenzo Librandi, Dec 15 2013

#5 by Vincenzo Librandi at Sun Dec 15 03:00:21 EST 2013

LINKS

Vincenzo Librandi, <a href="/A041317/b041317.txt">Table of n, a(n) for n = 0..200</a>

MATHEMATICA

Denominator[Convergents[Sqrt[172], 30]] (* Vincenzo Librandi, Dec 15 2013 *)

KEYWORD

nonn,cofr,frac,easy

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:48:05 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:48

OEIS Server: https://oeis.org/edit/global/110