A042521 Denominators of continued fraction convergents to sqrt(789).

1, 11, 45, 56, 101, 258, 875, 1133, 15604, 47945, 63549, 175043, 3214323, 6603689, 9818012, 36057725, 478568437, 514626162, 2022446923, 4559520008, 6581966931, 11141486939, 51147914687, 573768548496, 32182186630463, 354577821483589

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, 0, 0, 0, 0, 0, 0, 0, 0, 32233334545150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 32233334545150*a(n-24) - a(n-48) for n>47. - Vincenzo Librandi, Jan 23 2014

Mathematica

Denominator[Convergents[Sqrt[789], 30]] (* Harvey P. Dale, Oct 01 2012 *)

Crossrefs

Cf. A040760, A042520.

Sequence in context: A120537 A068596 A002089 * A041228 A022280 A154106

Adjacent sequences: A042518 A042519 A042520 * A042522 A042523 A042524

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 23 2014

Status

approved