A042781 Denominators of continued fraction convergents to sqrt(921).

1, 2, 3, 20, 23, 273, 842, 1115, 3072, 7259, 24849, 32108, 56957, 89065, 146022, 235087, 2026718, 40769447, 328182294, 368951741, 697134035, 1066085776, 1763219811, 2829305587, 10251136572, 23331578731, 56914294034, 80245872765, 297651912329, 3354416908384

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, 0, 0, 0, 0, 0, 0, 0, 0, 5044115425671470, 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, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 5044115425671470*a(n-34) - a(n-68) for n>67. - Vincenzo Librandi, Jan 29 2014

Mathematica

Denominator[Convergents[Sqrt[921], 30]] (* Vincenzo Librandi, Jan 29 2014 *)

Crossrefs

Cf. A042780, A040890.

Sequence in context: A042265 A041093 A154746 * A308885 A136886 A191423

Adjacent sequences: A042778 A042779 A042780 * A042782 A042783 A042784

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 29 2014

Status

approved