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

Author

N. J. A. Sloane

Keywords

• nonn
• frac
• easy

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).

Crossrefs

Cf. A041288.

Programs

Mathematica

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

Formula

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