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A042100 Numerators of continued fraction convergents to sqrt(574). 2
23, 24, 551, 575, 27001, 27576, 633673, 661249, 31051127, 31712376, 728723399, 760435775, 35708769049, 36469204824, 838031275177, 874500480001, 41065053355223, 41939553835224, 963735237730151 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1150,0,0,0,-1).

FORMULA

G.f.: -(x^7 - 23*x^6 + 24*x^5 - 551*x^4 - 575*x^3 - 551*x^2 - 24*x - 23)/(x^8 - 1150*x^4 + 1). - Vincenzo Librandi, Nov 16 2013

a(n) = 1150*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 16 2013

MATHEMATICA

Numerator[Convergents[Sqrt[574], 30]] (* or *) CoefficientList[Series[-(x^7 - 23 x^6 + 24 x^5 - 551 x^4 - 575 x^3 - 551 x^2 - 24 x - 23)/(x^8 - 1150 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)

PROG

(MAGMA) I:=[23, 24, 551, 575, 27001, 27576, 633673, 661249]; [n le 8 select I[n] else 1150*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013

CROSSREFS

Cf. A042101.

Sequence in context: A042096 A042098 A041263 * A042101 A042102 A156964

Adjacent sequences:  A042097 A042098 A042099 * A042101 A042102 A042103

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 25 20:38 EDT 2019. Contains 321477 sequences. (Running on oeis4.)