A042557 Denominators of continued fraction convergents to sqrt(807).

1, 2, 5, 22, 27, 103, 439, 4054, 16655, 54019, 70674, 336715, 744104, 1824923, 102939792, 207704507, 518348806, 2281099731, 2799448537, 10679445342, 45517229905, 420334514487, 1726855287853, 5600900378046, 7327755665899, 34911923041642

Offset

0,2

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, 103683896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 103683896*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 25 2014

Mathematica

Denominator[Convergents[Sqrt[807], 30]] (* Vincenzo Librandi, Jan 25 2014 *)

Crossrefs

Cf. A040778, A042556.

Sequence in context: A025559 A072961 A249829 * A137097 A024686 A024475

Adjacent sequences: A042554 A042555 A042556 * A042558 A042559 A042560

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 25 2014

Status

approved