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A042340 Numerators of continued fraction convergents to sqrt(697). 2
26, 53, 132, 6917, 13966, 34849, 1826114, 3687077, 9200268, 482101013, 973402294, 2428905601, 127276493546, 256981892693, 641240278932, 33601476397157, 67844193073246, 169289862543649, 8870917045342994, 17911123953229637, 44693164951802268 (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, 264, 0, 0, 1).

FORMULA

G.f.: -(x^5-26*x^4+53*x^3+132*x^2+53*x+26) / (x^6+264*x^3-1). - Colin Barker, Dec 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[697], 40]] (* Harvey P. Dale, May 03 2013 *)

CROSSREFS

Cf. A042341, A040670.

Sequence in context: A042336 A042334 A042342 * A042344 A042346 A042348

Adjacent sequences:  A042337 A042338 A042339 * A042341 A042342 A042343

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 08 2013

STATUS

approved

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Last modified January 18 00:52 EST 2022. Contains 350410 sequences. (Running on oeis4.)