A041603 Denominators of continued fraction convergents to sqrt(319).

1, 1, 7, 36, 43, 208, 667, 875, 3292, 14043, 17335, 100718, 621643, 722361, 25181917, 25904278, 180607585, 928942203, 1109549788, 5367141355, 17210973853, 22578115208, 84945319477, 362359393116, 447304712593, 2598882956081, 16040602449079, 18639485405160

Offset

0,3

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, 25803560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 25803560*a(n-14) - a(n-28) for n>27. [Bruno Berselli, Dec 22 2013]

Mathematica

Denominator[Convergents[Sqrt[319], 30]] (* Vincenzo Librandi Dec 21 2013 *)

Crossrefs

Cf. A041602.

Sequence in context: A197555 A362162 A028389 * A176543 A018199 A063168

Adjacent sequences: A041600 A041601 A041602 * A041604 A041605 A041606

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 21 2013

Status

approved