A041800 Numerators of continued fraction convergents to sqrt(421).

20, 21, 41, 554, 2811, 3365, 12906, 16271, 45448, 61719, 107167, 168886, 444939, 4173337, 4618276, 36501269, 114122083, 378867518, 871857119, 2122581756, 7239602387, 23841388917, 174129324806

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, 88084891393642836, 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) = 88084891393642836*a(n-37) + a(n-74) for n>73. [Bruno Berselli, Nov 09 2013]

Mathematica

Numerator[Convergents[Sqrt[421], 30]] (* Harvey P. Dale, Mar 28 2012 *)

Crossrefs

Cf. A041801.

Sequence in context: A041806 A041804 A041802 * A053242 A041818 A041816

Adjacent sequences: A041797 A041798 A041799 * A041801 A041802 A041803

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane

Status

approved