A041796 Numerators of continued fraction convergents to sqrt(419).

20, 41, 307, 348, 1003, 3357, 4360, 12077, 16437, 324380, 340817, 1006014, 1346831, 5046507, 11439845, 16486352, 126844309, 270174970, 10933843109, 22137861188, 165898871425, 188036732613, 541972336651

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, 540349940, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 540349940*a(n-18) - a(n-36) for n>35. [Bruno Berselli, Nov 09 2013]

Mathematica

Numerator[Convergents[Sqrt[419], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

Crossrefs

Cf. A041797.

Sequence in context: A038639 A041792 A041794 * A041798 A132762 A075228

Adjacent sequences: A041793 A041794 A041795 * A041797 A041798 A041799

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved