A042659 Denominators of continued fraction convergents to sqrt(859).

1, 3, 13, 68, 81, 149, 230, 609, 1448, 4953, 11354, 220679, 1997465, 2218144, 6433753, 8651897, 15085650, 68994497, 84080147, 321234938, 3617664465, 7556563868, 48957047673, 1427310946385, 8612822725983, 18652956398351, 213795343107844, 660038985721883

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4117689543959286120248020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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) = 4117689543959286120248020*a(n-46) - a(n-92) for n>91. - Vincenzo Librandi, Jan 26 2014

Mathematica

Denominator[Convergents[Sqrt[859], 30]] (* Vincenzo Librandi, Jan 26 2014 *)

Crossrefs

Cf. A040829, A042658.

Sequence in context: A020017 A060014 A182666 * A054132 A047149 A200757

Adjacent sequences: A042656 A042657 A042658 * A042660 A042661 A042662

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 26 2014

Status

approved