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A041588 Numerators of continued fraction convergents to sqrt(312). 2
17, 18, 35, 53, 1837, 1890, 3727, 5617, 194705, 200322, 395027, 595349, 20636893, 21232242, 41869135, 63101377, 2187315953, 2250417330, 4437733283, 6688150613, 231834854125, 238523004738, 470357858863, 708880863601, 24572307221297, 25281188084898 (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 (0,0,0,106,0,0,0,-1).

FORMULA

G.f.: -(x^7-17*x^6+18*x^5-35*x^4-53*x^3-35*x^2-18*x-17) / (x^8-106*x^4+1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[312], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041589.

Sequence in context: A022107 A041584 A041586 * A041582 A041580 A041578

Adjacent sequences:  A041585 A041586 A041587 * A041589 A041590 A041591

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 May 18 23:31 EDT 2022. Contains 353826 sequences. (Running on oeis4.)