A041289 Denominators of continued fraction convergents to sqrt(157).

1, 1, 2, 15, 17, 100, 217, 317, 534, 851, 1385, 3621, 19490, 23111, 181267, 204378, 385645, 9459858, 9845503, 19305361, 144983030, 164288391, 966424985, 2097138361, 3063563346, 5160701707, 8224265053

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, 0, 0, 0, 9664236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 9664236*a(n-17) + a(n-34) for n>33. [Bruno Berselli, Dec 14 2013]

Mathematica

Denominator[Convergents[Sqrt[157], 30]] (* Vincenzo Librandi, Dec 14 2013 *)

Crossrefs

Cf. A041288.

Sequence in context: A022117 A042571 A041797 * A249944 A042685 A031022

Adjacent sequences: A041286 A041287 A041288 * A041290 A041291 A041292

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Status

approved