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A042096 Numerators of continued fraction convergents to sqrt(572). 2
23, 24, 263, 287, 13465, 13752, 150985, 164737, 7728887, 7893624, 86665127, 94558751, 4436367673, 4530926424, 49745631913, 54276558337, 2546467315415, 2600743873752, 28553906052935, 31154649926687 (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, 574, 0, 0, 0, -1).

FORMULA

G.f.: -(x^7 - 23*x^6 + 24*x^5 - 263*x^4 - 287*x^3 - 263*x^2 - 24*x - 23)/(x^8 - 574*x^4 + 1). - Vincenzo Librandi, Nov 16 2013

a(n) = 574*a(n-4) - a(n-8). - Vincenzo Librandi, Nov 16 2013

MATHEMATICA

Numerator[Convergents[Sqrt[572], 30]] (* or *) CoefficientList[Series[-(x^7 - 23 x^6 + 24 x^5 - 263 x^4 - 287 x^3 - 263 x^2 - 24 x - 23)/(x^8 - 574 x^4 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 16 2013 *)

PROG

(MAGMA) I:=[23, 24, 263, 287, 13465, 13752, 150985, 164737]; [n le 8 select I[n] else 574*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, Nov 16 2013

CROSSREFS

Cf. A042097.

Sequence in context: A042090 A042092 A042094 * A042098 A041263 A042100

Adjacent sequences:  A042093 A042094 A042095 * A042097 A042098 A042099

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 19 21:59 EST 2019. Contains 320328 sequences. (Running on oeis4.)