A041637 Denominators of continued fraction convergents to sqrt(337).

1, 2, 3, 11, 14, 165, 344, 1541, 1885, 7196, 23473, 30669, 146149, 322967, 3698786, 4021753, 15764045, 19785798, 55335641, 2011868874, 4079073389, 6090942263, 22351900178, 28442842441, 335223167029, 698889176499, 3130779873025, 3829669049524, 14619787021597

Offset

0,2

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, 2031654672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 2031654672*a(n-19) + a(n-38) for n>37. [Bruno Berselli, Dec 22 2013]

Mathematica

Denominator[Convergents[Sqrt[337], 30]] (* Harvey P. Dale, Dec 08 2011 *)

Crossrefs

Cf. A041636.

Sequence in context: A158355 A041235 A036972 * A042235 A050587 A293026

Adjacent sequences: A041634 A041635 A041636 * A041638 A041639 A041640

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 22 2013

Status

approved