A041243 Denominators of continued fraction convergents to sqrt(133).

1, 1, 2, 15, 77, 92, 169, 261, 691, 952, 1643, 2595, 14618, 104921, 119539, 224460, 5057659, 5282119, 10339778, 77660565, 398642603, 476303168, 874945771, 1351248939, 3577443649, 4928692588, 8506136237, 13434828825, 75680280362, 543196791359, 618877071721

Offset

0,3

Comments

Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). - Harvey P. Dale, Dec 03 2022

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, 5177198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Mathematica

Denominator[Convergents[Sqrt[133], 30]]  (* Vincenzo Librandi, Dec 13 2013 *)

Crossrefs

Cf. A041242.

Sequence in context: A283842 A344215 A102289 * A216247 A291972 A056079

Adjacent sequences: A041240 A041241 A041242 * A041244 A041245 A041246

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 13 2013

Status

approved