A042927 Denominators of continued fraction convergents to sqrt(995).

1, 1, 2, 11, 46, 149, 1834, 5651, 24438, 127841, 152279, 280120, 17519719, 17799839, 35319558, 194397629, 812910074, 2633127851, 32410444286, 99864460709, 431868287122, 2259205896319, 2691074183441, 4950280079760, 309608439128561, 314558719208321

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, 17671998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 17671998*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Feb 01 2014

Mathematica

Denominator[Convergents[Sqrt[995], 30]] (* Harvey P. Dale, May 06 2012 *)

Crossrefs

Cf. A042926, A040963.

Sequence in context: A037639 A319428 A000176 * A292533 A140305 A229019

Adjacent sequences: A042924 A042925 A042926 * A042928 A042929 A042930

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Feb 01 2014

Status

approved