A042122 Numerators of continued fraction convergents to sqrt(586).

24, 97, 121, 581, 702, 1283, 3268, 4551, 12370, 91141, 103511, 298163, 699837, 998000, 7685837, 16369674, 24055511, 64480696, 88536207, 153016903, 700603819, 853620722, 4115086707, 198377782658

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, 8230173414, 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) = 8230173414*a(n-23) + a(n-46) for n>45. [Bruno Berselli, Nov 17 2013]

Mathematica

Numerator[Convergents[Sqrt[586], 30]] (* Vincenzo Librandi, Nov 17 2013 *)

Crossrefs

Cf. A042123.

Sequence in context: A319577 A277563 A225790 * A042124 A042126 A157514

Adjacent sequences: A042119 A042120 A042121 * A042123 A042124 A042125

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved