A042259 Denominators of continued fraction convergents to sqrt(655).

1, 1, 2, 5, 27, 86, 199, 1678, 16979, 137510, 291999, 1013507, 5359534, 11732575, 17092109, 28824684, 1458326309, 1487150993, 2945477302, 7378105597, 39836005287, 126886121458, 293608248203, 2475752107082, 25051129319023, 202884786659266

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, 1475418418, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1475418418*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Jan 19 2014

Mathematica

Denominator[Convergents[Sqrt[655], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

Crossrefs

Cf. A042258.

Sequence in context: A299104 A090744 A041571 * A100105 A087130 A265266

Adjacent sequences: A042256 A042257 A042258 * A042260 A042261 A042262

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 19 2014

Status

approved