A042205 Denominators of continued fraction convergents to sqrt(628).

1, 16, 17, 50, 267, 1118, 2503, 3621, 9745, 23111, 79078, 102189, 385645, 4729929, 14575432, 19305361, 72491515, 164288391, 401068297, 565356688, 1531781673, 6692483380, 34994198573, 76680880526, 111675079099, 1863482146110, 93285782384599, 1494436000299694

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, 0, 0, 0, 0, 0, 0, 0, 0, 93397457463698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 93397457463698*a(n-26) - a(n-52) for n>51. - Vincenzo Librandi, Jan 16 2014

Mathematica

Denominator[Convergents[Sqrt[628], 30]] (* Harvey P. Dale, Sep 05 2013 *)

Crossrefs

Cf. A042204.

Sequence in context: A052059 A041526 A041524 * A041522 A097221 A097220

Adjacent sequences: A042202 A042203 A042204 * A042206 A042207 A042208

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 16 2014

Status

approved