A042663 Denominators of continued fraction convergents to sqrt(861).

1, 2, 3, 35, 493, 528, 1021, 2570, 6161, 14892, 21053, 35945, 524283, 5803058, 6327341, 18457740, 1076876261, 2172210262, 3249086523, 37912162015, 534019354733, 571931516748, 1105950871481, 2783833259710, 6673617390901, 16131068041512, 22804685432413

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, 1083203602, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1083203602*a(n-16) - a(n-32) for n>31. - Vincenzo Librandi, Jan 26 2014

Mathematica

Denominator[Convergents[Sqrt[861], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A040831, A042662.

Sequence in context: A234423 A165448 A111459 * A072291 A325500 A084191

Adjacent sequences: A042660 A042661 A042662 * A042664 A042665 A042666

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved