A042359 Denominators of continued fraction convergents to sqrt(706).

1, 1, 2, 7, 184, 559, 743, 1302, 68447, 69749, 138196, 484337, 12730958, 38677211, 51408169, 90085380, 4735847929, 4825933309, 9561781238, 33511277023, 880854983836, 2676076228531, 3556931212367, 6233007440898, 327673318139063, 333906325579961

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, 69190, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -7*x^11 +184*x^10 -559*x^9 +743*x^8 -1302*x^7 -743*x^6 -559*x^5 -184*x^4 -7*x^3 -2*x^2 -x -1) / (x^16 -69190*x^8 +1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[706], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042358, A040679.

Sequence in context: A120381 A260507 A173240 * A015174 A307582 A125610

Adjacent sequences: A042356 A042357 A042358 * A042360 A042361 A042362

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved