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A041927 Denominators of continued fraction convergents to sqrt(486). 2
1, 22, 969, 21340, 939929, 20699778, 911730161, 20078763320, 884377316241, 19476379720622, 857845085023609, 18892068250240020, 832108848095584489, 18325286726353098778, 807144724807631930721, 17775509232494255574640 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: -(x^2 -22*x -1) / (x^4 -970*x^2 +1). - Colin Barker, Nov 27 2013
a(n) = 970*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 27 2013
MATHEMATICA
Denominator[Convergents[Sqrt[486], 30]] (* Vincenzo Librandi, Dec 27 2013 *)
LinearRecurrence[{0, 970, 0, -1}, {1, 22, 969, 21340}, 20] (* Harvey P. Dale, Feb 06 2017 *)
PROG
(Magma) I:=[1, 22, 969, 21340]; [n le 4 select I[n] else 970*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 27 2013
CROSSREFS
Sequence in context: A200575 A102995 A211887 * A041924 A160139 A004633
KEYWORD
nonn,frac,easy,less
AUTHOR
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)