A041566 Numerators of continued fraction convergents to sqrt(301).

17, 35, 52, 347, 1093, 1440, 3973, 9386, 13359, 22745, 195319, 2171254, 4537827, 20322562, 45182951, 517335023, 4183863135, 4701198158, 8885061293, 22471320744, 53827702781, 76299023525, 282724773356

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, 11766785075390, 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) = 11766785075390*a(n-26) - a(n-52) for n>51. [Bruno Berselli, Nov 16 2013]

Mathematica

Numerator[Convergents[Sqrt[301], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041567.

Sequence in context: A271536 A041568 A042305 * A004921 A239129 A212427

Adjacent sequences: A041563 A041564 A041565 * A041567 A041568 A041569

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved