A042313 Denominators of continued fraction convergents to sqrt(683).

1, 7, 15, 67, 216, 283, 499, 12758, 13257, 26015, 91302, 391223, 873748, 6507459, 339261616, 2381338771, 5101939158, 22789095403, 73469225367, 96258320770, 169727546137, 4339446974195, 4509174520332, 8848621494527, 31055039003913, 133068777510179

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, 340135364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 340135364*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 20 2014

Mathematica

Denominator[Convergents[Sqrt[683], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042312.

Sequence in context: A039789 A279882 A171064 * A058206 A219523 A177128

Adjacent sequences: A042310 A042311 A042312 * A042314 A042315 A042316

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 20 2014

Status

approved