A042361 Denominators of continued fraction convergents to sqrt(707).

1, 1, 2, 5, 17, 39, 56, 95, 4996, 5091, 10087, 25265, 85882, 197029, 282911, 479940, 25239791, 25719731, 50959522, 127638775, 433875847, 995390469, 1429266316, 2424656785, 127511419136, 129936075921, 257447495057, 644831066035, 2191940693162, 5028712452359

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, 5052, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +17*x^10 -39*x^9 +56*x^8 -95*x^7 -56*x^6 -39*x^5 -17*x^4 -5*x^3 -2*x^2 -x -1) / (x^16 -5052*x^8 +1). - Colin Barker, Dec 09 2013

Mathematica

Denominator[Convergents[Sqrt[707], 30]] (* Harvey P. Dale, Dec 14 2011 *)

Crossrefs

Cf. A042360, A040680.

Sequence in context: A064168 A118727 A183906 * A114300 A099207 A320102

Adjacent sequences: A042358 A042359 A042360 * A042362 A042363 A042364

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 09 2013

Status

approved