A042369 Denominators of continued fraction convergents to sqrt(711).

1, 1, 2, 3, 158, 161, 319, 480, 25279, 25759, 51038, 76797, 4044482, 4121279, 8165761, 12287040, 647091841, 659378881, 1306470722, 1965849603, 103530650078, 105496499681, 209027149759, 314523649440, 16564256920639, 16878780570079, 33443037490718

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 160, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+3*x^2+1) / (x^8-160*x^4+1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[711], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042368, A040684.

Sequence in context: A115231 A378839 A371231 * A371273 A328257 A042701

Adjacent sequences: A042366 A042367 A042368 * A042370 A042371 A042372

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved