A042204 Numerators of continued fraction convergents to sqrt(628).

25, 401, 426, 1253, 6691, 28017, 62725, 90742, 244209, 579160, 1981689, 2560849, 9664236, 118531681, 365259279, 483790960, 1816632159, 4117055278, 10050742715, 14167797993, 38386338701, 167713152797

Offset

0,1

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. [Bruno Berselli, Nov 19 2013]

Mathematica

Numerator[Convergents[Sqrt[628], 30]] (* Vincenzo Librandi, Nov 19 2013 *)

Crossrefs

Cf. A042205.

Sequence in context: A174515 A028116 A028075 * A028112 A238511 A028064

Adjacent sequences: A042201 A042202 A042203 * A042205 A042206 A042207

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved