A042441 Denominators of continued fraction convergents to sqrt(748).

1, 2, 3, 20, 103, 123, 1579, 1702, 10089, 62236, 72325, 206886, 11244169, 22695224, 33939393, 226331582, 1165597303, 1391928885, 17868743923, 19260672808, 114172107963, 704293320586, 818465428549, 2341224177684, 127244571023485, 256830366224654

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, 11316494, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 11316494*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Jan 22 2014

Mathematica

Denominator[Convergents[Sqrt[748], 30]] (* Vincenzo Librandi, Jan 22 2014 *)

Prog

(Magma) I:=[1, 2, 3, 20, 103, 123, 1579, 1702, 10089, 62236, 72325, 206886, 11244169, 22695224, 33939393, 226331582, 1165597303, 1391928885, 17868743923, 19260672808, 114172107963, 704293320586, 818465428549, 2341224177684]; [n le 24 select I[n] else 11316494*Self(n-12)-Self(n-24): n in [1..40]]; // Vincenzo Librandi, Jan 22 2014

Crossrefs

Cf. A042440.

Sequence in context: A258089 A165960 A125763 * A128977 A069323 A356884

Adjacent sequences: A042438 A042439 A042440 * A042442 A042443 A042444

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 22 2014

Status

approved