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A041356 Numerators of continued fraction convergents to sqrt(192). 2
13, 14, 83, 97, 2605, 2702, 16115, 18817, 505357, 524174, 3126227, 3650401, 98036653, 101687054, 606471923, 708158977, 19018605325, 19726764302, 117652426835, 137379191137, 3689511396397, 3826890587534, 22823964334067, 26650854921601, 715746192295693 (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 (0,0,0,194,0,0,0,-1).

FORMULA

G.f.: -(x^7-13*x^6+14*x^5-83*x^4-97*x^3-83*x^2-14*x-13) / ((x^2-4*x+1)*(x^2+4*x+1)*(x^4+14*x^2+1)). - Colin Barker, Nov 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[192], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041357.

Sequence in context: A329650 A041352 A041354 * A103868 A041358 A033049

Adjacent sequences:  A041353 A041354 A041355 * A041357 A041358 A041359

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 07 2013

STATUS

approved

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Last modified January 26 23:05 EST 2020. Contains 331289 sequences. (Running on oeis4.)