A041746 Numerators of continued fraction convergents to sqrt(393).

19, 20, 99, 119, 337, 1467, 1804, 3271, 5075, 8346, 105227, 113573, 218800, 332373, 551173, 2537065, 5625303, 8162368, 38274775, 46437143, 1802886209, 1849323352, 9200179617, 11049502969

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, 92874286, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 92874286*a(n-20) - a(n-40) for n>39. [Bruno Berselli, Nov 07 2013]

Mathematica

Numerator[Convergents[Sqrt[393], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041747.

Sequence in context: A041734 A041744 A041742 * A041748 A041750 A041752

Adjacent sequences: A041743 A041744 A041745 * A041747 A041748 A041749

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved