A042077 Denominators of continued fraction convergents to sqrt(562).

1, 1, 3, 7, 17, 75, 92, 535, 627, 14329, 14956, 89109, 104065, 505369, 1114803, 2734975, 6584753, 9319728, 435292241, 444611969, 1324516179, 3093644327, 7511804833, 33140863659, 40652668492, 236404206119, 277056874611, 6331655447561, 6608712322172

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, 441876994, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 441876994*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Jan 14 2014

Mathematica

Denominator[Convergents[Sqrt[562], 30]] (* Vincenzo Librandi, Jan 14 2014 *)

Crossrefs

Cf. A042076.

Sequence in context: A079634 A357784 A047981 * A264765 A247196 A246764

Adjacent sequences: A042074 A042075 A042076 * A042078 A042079 A042080

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 14 2014

Status

approved