A042085 Denominators of continued fraction convergents to sqrt(566).

1, 1, 4, 5, 19, 24, 43, 368, 411, 9410, 9821, 87978, 97799, 185777, 655130, 840907, 3177851, 4018758, 188040719, 192059477, 764219150, 956278627, 3633055031, 4589333658, 8222388689, 70368443170, 78590831859, 1799366744068, 1877957575927, 16823027351484

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, 191218570, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 191218570*a(n-18) - a(n-36) for n>35. - Vincenzo Librandi, Jan 14 2014

Mathematica

Denominator[Convergents[Sqrt[566], 30]] (* Harvey P. Dale, Apr 29 2012 *)

Crossrefs

Cf. A042084.

Sequence in context: A234143 A217686 A042885 * A136211 A041036 A041699

Adjacent sequences: A042082 A042083 A042084 * A042086 A042087 A042088

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 14 2014

Status

approved