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A042010 Numerators of continued fraction convergents to sqrt(528). 2
22, 23, 1034, 1057, 47542, 48599, 2185898, 2234497, 100503766, 102738263, 4620987338, 4723725601, 212464913782, 217188639383, 9768765046634, 9985953686017, 449150727231382, 459136680917399 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
G.f.: -(x^3-22*x^2-23*x-22)/(x^4-46*x^2+1). - Vincenzo Librandi, Nov 13 2013
a(n) = 46*a(n-2)-a(n-4). - Vincenzo Librandi, Nov 13 2013
MATHEMATICA
Numerator[Convergents[Sqrt[528], 30]] (* or *) CoefficientList[Series[-(x^3 - 22 x^2 - 23 x - 22)/(x^4 - 46 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2013 *)
PROG
(Magma) I:=[22, 23, 1034, 1057]; [n le 4 select I[n] else 46*Self(n-2)-Self(n-4): n in [1..25]]; // Vincenzo Librandi, Nov 13 2013
CROSSREFS
Cf. A042011.
Sequence in context: A042006 A042008 A042009 * A162334 A165483 A067189
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved

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Last modified June 22 21:17 EDT 2024. Contains 373609 sequences. (Running on oeis4.)