A042658 Numerators of continued fraction convergents to sqrt(859).

29, 88, 381, 1993, 2374, 4367, 6741, 17849, 42439, 145166, 332771, 6467815, 58543106, 65010921, 188564948, 253575869, 442140817, 2022139137, 2464279954, 9414978999, 106029048943, 221473076885

Offset

0,1

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. [Bruno Berselli, Dec 01 2013]

Mathematica

Numerator[Convergents[Sqrt[859], 30]] (* Harvey P. Dale, Oct 31 2013 *)

Crossrefs

Cf. A042659.

Sequence in context: A042654 A042652 A042656 * A042660 A047650 A308787

Adjacent sequences: A042655 A042656 A042657 * A042659 A042660 A042661

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved