A042664 Numerators of continued fraction convergents to sqrt(862).

29, 59, 88, 323, 411, 734, 7017, 28802, 64621, 158044, 380709, 538753, 3074474, 3613227, 17527382, 38667991, 752219211, 6056421679, 12865062569, 18921484248, 542666621513, 561588105761, 1665842833035

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, 716045132294624251006, 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) = 716045132294624251006*a(n-40) - a(n-80) for n>79. [Bruno Berselli, Dec 01 2013]

Mathematica

Numerator[Convergents[Sqrt[862], 30]] (* Vincenzo Librandi, Nov 30 2013 *)

Crossrefs

Cf. A042665.

Sequence in context: A083821 A042666 A042668 * A042662 A128469 A132236

Adjacent sequences: A042661 A042662 A042663 * A042665 A042666 A042667

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved