A042632 Numerators of continued fraction convergents to sqrt(846).

29, 320, 349, 669, 1018, 1687, 2705, 4392, 11489, 15881, 27370, 43251, 70621, 113872, 184493, 2143295, 124495603, 1371594928, 1496090531, 2867685459, 4363775990, 7231461449, 11595237439, 18826698888

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, 4286590, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 4286590*a(n-16) - a(n-32) for n>31. [Bruno Berselli, Nov 30 2013]

Mathematica

Numerator[Convergents[Sqrt[846], 30]] (* Harvey P. Dale, Feb 27 2013 *)

Crossrefs

Cf. A042633.

Sequence in context: A147831 A165616 A142380 * A107966 A057131 A160442

Adjacent sequences: A042629 A042630 A042631 * A042633 A042634 A042635

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved