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A041483 Denominators of continued fraction convergents to sqrt(258). 2
1, 16, 513, 8224, 263681, 4227120, 135531521, 2172731456, 69662938113, 1116779741264, 35806614658561, 574022614278240, 18404530271562241, 295046506959274096, 9459892752968333313, 151653330554452607104, 4862366470495451760641, 77949516858481680777360 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: -(x^2-16*x-1) / (x^4-514*x^2+1). - Colin Barker, Nov 18 2013
a(n) = 514*a(n-2) - a(n-4) for n>3. - Vincenzo Librandi, Dec 18 2013
MATHEMATICA
Denominator[Convergents[Sqrt[258], 30]] (* Vincenzo Librandi, Dec 18 2013 *)
PROG
(Magma) I:=[1, 16, 513, 8224]; [n le 4 select I[n] else 514*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 18 2013
CROSSREFS
Sequence in context: A300179 A013825 A099772 * A041480 A227402 A263907
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved

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Last modified March 18 22:50 EDT 2024. Contains 370951 sequences. (Running on oeis4.)