A042173 Denominators of continued fraction convergents to sqrt(611).

1, 1, 3, 4, 7, 32, 71, 103, 277, 1211, 1488, 2699, 6886, 9585, 466966, 476551, 1420068, 1896619, 3316687, 15163367, 33643421, 48806788, 131256997, 573834776, 705091773, 1278926549, 3262944871, 4541871420, 221272773031, 225814644451, 672902061933

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 473852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 473852*a(n-14) - a(n-28) for n > 27. - Vincenzo Librandi, Jan 16 2014

Mathematica

Denominator[Convergents[Sqrt[611], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042172.

Sequence in context: A113874 A007677 A042773 * A317811 A046461 A375268

Adjacent sequences: A042170 A042171 A042172 * A042174 A042175 A042176

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 16 2014

Status

approved