A041588 Numerators of continued fraction convergents to sqrt(312).

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

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