A042365 Denominators of continued fraction convergents to sqrt(709).

1, 1, 2, 3, 8, 59, 244, 791, 2617, 11259, 81430, 174119, 255549, 429668, 685217, 36060952, 36746169, 72807121, 109553290, 291913701, 2152949197, 8903710489, 28864080664, 95495952481, 410847890588, 2971431186597, 6353710263782, 9325141450379, 15678851714161

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, 36490620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 36490620*a(n-15) + a(n-30) for n>29. - Vincenzo Librandi, Jan 20 2014

Mathematica

Denominator[Convergents[Sqrt[709], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042364.

Sequence in context: A245384 A292893 A356902 * A329496 A160634 A072043

Adjacent sequences: A042362 A042363 A042364 * A042366 A042367 A042368

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 20 2014

Status

approved