A042771 Denominators of continued fraction convergents to sqrt(916).

1, 3, 4, 15, 49, 64, 113, 1646, 1759, 3405, 11974, 39327, 51301, 193230, 11645101, 35128533, 46773634, 175449435, 573121939, 748571374, 1321693313, 19252277756, 20573971069, 39826248825, 140052717544, 459984401457, 600037119001, 2260095758460

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, 11696402, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 11696402*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 28 2014

Mathematica

Denominator[Convergents[Sqrt[916], 30]] (* Vincenzo Librandi, Jan 28 2014 *)

Crossrefs

Cf. A040885, A042770.

Sequence in context: A209338 A377921 A127144 * A176755 A299684 A211182

Adjacent sequences: A042768 A042769 A042770 * A042772 A042773 A042774

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 28 2014

Status

approved