A042147 Denominators of continued fraction convergents to sqrt(598).

1, 2, 9, 11, 174, 359, 5559, 5918, 29231, 64380, 3119471, 6303322, 28332759, 34636081, 547873974, 1130384029, 17503634409, 18634018438, 92039708161, 202713434760, 9822284576641, 19847282588042, 89211414928809, 109058697516851, 1725091877681574

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,3148702,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^18 -2*x^17 +9*x^16 -11*x^15 +174*x^14 -359*x^13 +5559*x^12 -5918*x^11 +29231*x^10 -64380*x^9 -29231*x^8 -5918*x^7 -5559*x^6 -359*x^5 -174*x^4 -11*x^3 -9*x^2 -2*x -1) / (x^20 -3148702*x^10 +1). - Colin Barker, Dec 02 2013

Mathematica

Denominator[Convergents[Sqrt[598], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042146, A040573.

Sequence in context: A042687 A083159 A041335 * A090517 A092191 A030376

Adjacent sequences: A042144 A042145 A042146 * A042148 A042149 A042150

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 02 2013

Status

approved