A042069 Denominators of continued fraction convergents to sqrt(558).

1, 1, 2, 3, 5, 8, 37, 45, 82, 127, 209, 336, 15665, 16001, 31666, 47667, 79333, 127000, 587333, 714333, 1301666, 2015999, 3317665, 5333664, 248666209, 253999873, 502666082, 756665955, 1259332037, 2015997992, 9323324005, 11339321997, 20662646002, 32001967999

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, 15874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2 -x -1)*(x^4 -x^3 +2*x^2 +x +1)*(x^4 +x^3 +2*x^2 -x +1)*(x^12 +42*x^6 +1) / ((x^12 -126*x^6 +1)*(x^12 +126*x^6 +1)). - Colin Barker, Dec 01 2013

Mathematica

Denominator[Convergents[Sqrt[558], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042068, A040534.

Sequence in context: A178355 A281618 A059359 * A041008 A041569 A268480

Adjacent sequences: A042066 A042067 A042068 * A042070 A042071 A042072

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 01 2013

Status

approved