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A041562 Numerators of continued fraction convergents to sqrt(299). 2
17, 52, 121, 415, 14231, 43108, 100447, 344449, 11811713, 35779588, 83370889, 285892255, 9803707559, 29697014932, 69197737423, 237290227201, 8137065462257, 24648486613972, 57434038690201, 196950602684575, 6753754529965751, 20458214192581828 (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, 830, 0, 0, 0, -1).

FORMULA

G.f.: -(x^7-17*x^6+52*x^5-121*x^4-415*x^3-121*x^2-52*x-17) / (x^8-830*x^4+1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[299], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041563.

Sequence in context: A078757 A041560 A195666 * A113915 A042295 A041564

Adjacent sequences:  A041559 A041560 A041561 * A041563 A041564 A041565

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified February 21 04:18 EST 2019. Contains 320371 sequences. (Running on oeis4.)