A041981 Denominators of continued fraction convergents to sqrt(513).

1, 1, 2, 3, 17, 20, 97, 505, 1107, 6040, 25267, 31307, 181802, 213109, 394911, 608020, 27147791, 27755811, 54903602, 82659413, 468200667, 550860080, 2671640987, 13909065015, 30489771017, 166357920100, 695921451417, 862279371517, 5007318309002

Offset

0,3

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

Denominator[Convergents[Sqrt[513], 30]] (* Harvey P. Dale, Jun 06 2013 *)

Crossrefs

Cf. A041980.

Sequence in context: A128845 A128851 A078737 * A197223 A045342 A045343

Adjacent sequences: A041978 A041979 A041980 * A041982 A041983 A041984

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 11 2014

Status

approved