A041567 Denominators of continued fraction convergents to sqrt(301).

1, 2, 3, 20, 63, 83, 229, 541, 770, 1311, 11258, 125149, 261556, 1171373, 2604302, 29818695, 241153862, 270972557, 512126419, 1295225395, 3102577209, 4397802604, 16295985021, 102173712730, 118469697751, 339113108232, 11648315377639, 23635743863510

Offset

0,2

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. - Vincenzo Librandi, Dec 20 2013

Mathematica

Denominator[Convergents[Sqrt[301], 30]] (* Vincenzo Librandi, Dec 20 2013 *)

Crossrefs

Cf. A041566.

Sequence in context: A318765 A055814 A151370 * A338084 A087301 A292122

Adjacent sequences: A041564 A041565 A041566 * A041568 A041569 A041570

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 20 2013

Status

approved