A041672 Numerators of continued fraction convergents to sqrt(355).

18, 19, 113, 358, 1187, 1545, 10457, 12002, 46463, 151391, 803418, 954809, 35176542, 36131351, 215833297, 683631242, 2266727023, 2950358265, 19968876613, 22919234878, 88726581247, 289098978619

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, 1909618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 1909618*a(n-12) - a(n-24) for n>23. [Bruno Berselli, Nov 06 2013]

Mathematica

Numerator[Convergents[Sqrt[355], 30]] (* Harvey P. Dale, Jan 06 2012 *)

Crossrefs

Cf. A041673.

Sequence in context: A041668 A041666 A041670 * A041674 A041676 A370152

Adjacent sequences: A041669 A041670 A041671 * A041673 A041674 A041675

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved