A042294 Numerators of continued fraction convergents to sqrt(673).

25, 26, 441, 1349, 7186, 15721, 54349, 70070, 124419, 816584, 941003, 5521599, 6462602, 11984201, 18446803, 30431004, 48877807, 79308811, 128186618, 207495429, 1165663763, 1373159192, 9404618915, 10777778107

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, 0, 0, 0, 0, 0, 97626910587864, 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, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 97626910587864*a(n-31) + a(n-62) for n>61. [Bruno Berselli, Nov 22 2013]

Mathematica

Numerator[Convergents[Sqrt[673], 30]] (* Vincenzo Librandi, Nov 21 2013 *)

Crossrefs

Cf. A042295.

Sequence in context: A042288 A042290 A042292 * A041311 A042296 A042297

Adjacent sequences: A042291 A042292 A042293 * A042295 A042296 A042297

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved