A041301 Denominators of continued fraction convergents to sqrt(163).

1, 1, 4, 13, 30, 43, 73, 554, 627, 7451, 8078, 63997, 72075, 136072, 344219, 1168729, 3850406, 5019135, 124309646, 129328781, 512295989, 1666216748, 3844729485, 5510946233, 9355675718, 71000676259, 80356351977, 954920548006, 1035276899983, 8201858847887

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, 0, 0, 128160052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 128160052*a(n-18) - a(n-36) for n>35. [Bruno Berselli, Dec 15 2013]

Mathematica

Denominator[Convergents[Sqrt[163], 30]] (* Vincenzo Librandi, Dec 15 2013 *)

Crossrefs

Cf. A041300.

Sequence in context: A241399 A264536 A161742 * A138989 A254830 A071400

Adjacent sequences: A041298 A041299 A041300 * A041302 A041303 A041304

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 15 2013

Status

approved