A042001 Denominators of continued fraction convergents to sqrt(523).

1, 1, 7, 8, 15, 23, 107, 237, 818, 11689, 12507, 274336, 286843, 4290138, 13157257, 30604652, 135575865, 166180517, 301756382, 467936899, 3109377776, 3577314675, 160511223476, 164088538151, 1145042452382, 1309130990533, 2454173442915, 3763304433448

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, 0, 0, 0, 0, 163620601252, 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) = 163620601252*a(n-22) - a(n-44) for n>43. [Bruno Berselli, Jan 12 2014]

Mathematica

Denominator[Convergents[Sqrt[523], 40]] (* Vincenzo Librandi, Jan 12 2014 *)

Crossrefs

Cf. A042000.

Sequence in context: A041100 A129658 A041693 * A020690 A191413 A066971

Adjacent sequences: A041998 A041999 A042000 * A042002 A042003 A042004

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 12 2014

Status

approved