A041980 Numerators of continued fraction convergents to sqrt(513).

22, 23, 45, 68, 385, 453, 2197, 11438, 25073, 136803, 572285, 709088, 4117725, 4826813, 8944538, 13771351, 614883982, 628655333, 1243539315, 1872194648, 10604512555, 12476707203, 60511341367, 315033414038

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, 27542702, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 27542702*a(n-16) - a(n-32). - Wesley Ivan Hurt, Apr 18 2023

Mathematica

Numerator[Convergents[Sqrt[513], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

Crossrefs

Cf. A041981.

Sequence in context: A022392 A041976 A041978 * A041974 A041972 A041970

Adjacent sequences: A041977 A041978 A041979 * A041981 A041982 A041983

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved