A041748 Numerators of continued fraction convergents to sqrt(394).

19, 20, 119, 139, 258, 397, 1449, 1846, 6987, 36781, 80549, 197879, 1069944, 3407711, 4477655, 16840676, 21318331, 38159007, 59477338, 335545697, 395023035, 15346421027, 15741444062, 94053641337

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, 790046070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 790046070*a(n-21) + a(n-42) for n>41. [Bruno Berselli, Nov 07 2013]

Mathematica

Numerator[Convergents[Sqrt[394], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041749.

Sequence in context: A041744 A041742 A041746 * A041750 A041752 A041754

Adjacent sequences: A041745 A041746 A041747 * A041749 A041750 A041751

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved