A042123 Denominators of continued fraction convergents to sqrt(586).

1, 4, 5, 24, 29, 53, 135, 188, 511, 3765, 4276, 12317, 28910, 41227, 317499, 676225, 993724, 2663673, 3657397, 6321070, 28941677, 35262747, 169992665, 8194910667, 32949635333, 41144546000, 197527819333, 238672365333, 436200184666, 1111072734665, 1547272919331

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8230173414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 8230173414*a(n-23) + a(n-46) for n>45. - Vincenzo Librandi, Jan 15 2014

Mathematica

Denominator[Convergents[Sqrt[586], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042122.

Sequence in context: A331261 A063986 A039583 * A041531 A089499 A249060

Adjacent sequences: A042120 A042121 A042122 * A042124 A042125 A042126

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 15 2014

Status

approved