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A041564 Numerators of continued fraction convergents to sqrt(300). 2
17, 52, 433, 1351, 46367, 140452, 1169983, 3650401, 125283617, 379501252, 3161293633, 9863382151, 338516286767, 1025412242452, 8541814226383, 26650854921601, 914670881560817, 2770663499604052, 23079978878393233, 72010600134783751, 2471440383461040767 (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 (0,0,0,2702,0,0,0,-1).

FORMULA

G.f.: -(x^7-17*x^6+52*x^5-433*x^4-1351*x^3-433*x^2-52*x-17) / ((x^4-52*x^2+1)*(x^4+52*x^2+1)). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[300], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041565.

Sequence in context: A041562 A113915 A042295 * A286211 A213997 A062342

Adjacent sequences:  A041561 A041562 A041563 * A041565 A041566 A041567

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 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)