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A042009 Denominators of continued fraction convergents to sqrt(527). 2
1, 1, 22, 23, 1034, 1057, 23231, 24288, 1091903, 1116191, 24531914, 25648105, 1153048534, 1178696639, 25905677953, 27084374592, 1217618160001, 1244702534593, 27356371386454, 28601073921047, 1285803623912522, 1314404697833569, 28888302278417471 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
G.f.: -(x^2-x-1)*(x^4+23*x^2+1) / (x^8-1056*x^4+1). - Colin Barker, Nov 28 2013
a(n) = 1056*a(n-4) - a(n-8) for n>7. - Vincenzo Librandi, Jan 12 2014
MATHEMATICA
Denominator[Convergents[Sqrt[527], 40]] (* Vincenzo Librandi, Jan 12 2014 *)
PROG
(Magma) I:=[1, 1, 22, 23, 1034, 1057, 23231, 24288]; [n le 8 select I[n] else 1056*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Jan 12 2014
CROSSREFS
Sequence in context: A042004 A042006 A042008 * A042010 A162334 A165483
KEYWORD
nonn,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 28 2013
STATUS
approved

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Last modified June 25 09:15 EDT 2024. Contains 373701 sequences. (Running on oeis4.)