A041793 Denominators of continued fraction convergents to sqrt(417).

1, 2, 5, 7, 12, 19, 107, 447, 554, 7095, 7649, 37691, 196104, 233795, 429899, 663694, 1757287, 4178268, 168888007, 341954282, 852796571, 1194750853, 2047547424, 3242298277, 18259038809, 76278453513, 94537492322, 1210728361377, 1305265853699, 6431791776173

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, 0, 0, 0, 0, 170645294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 170645294*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Dec 24 2013

Mathematica

Denominator[Convergents[Sqrt[417], 30]] (* Vincenzo Librandi, Dec 24 2013 *)

Crossrefs

Cf. A041792.

Sequence in context: A112732 A331529 A042065 * A359064 A333068 A029938

Adjacent sequences: A041790 A041791 A041792 * A041794 A041795 A041796

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 24 2013

Status

approved