A041724 Numerators of continued fraction convergents to sqrt(382).

19, 20, 39, 215, 2619, 2834, 16789, 19623, 36412, 92447, 313753, 406200, 7625353, 8031553, 31720012, 71471577, 103191589, 174663166, 976507419, 1151170585, 14790554439, 75103942780, 89894497219

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, 329996879998, 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) = 329996879998*a(n-24) - a(n-48) for n>47. [Bruno Berselli, Nov 08 2013]

Mathematica

Numerator[Convergents[Sqrt[382], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041725.

Sequence in context: A041732 A041728 A041726 * A041722 A041738 A041740

Adjacent sequences: A041721 A041722 A041723 * A041725 A041726 A041727

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved