A042339 Denominators of continued fraction convergents to sqrt(696).

1, 2, 3, 5, 8, 13, 21, 55, 2881, 5817, 8698, 14515, 23213, 37728, 60941, 159610, 8360661, 16880932, 25241593, 42122525, 67364118, 109486643, 176850761, 463188165, 24262635341, 48988458847, 73251094188, 122239553035, 195490647223, 317730200258

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, 2902, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -2*x^13 +3*x^12 -5*x^11 +8*x^10 -13*x^9 +21*x^8 -55*x^7 -21*x^6 -13*x^5 -8*x^4 -5*x^3 -3*x^2 -2*x -1) / (x^16 -2902*x^8 +1). - Colin Barker, Dec 08 2013

Mathematica

Denominator[Convergents[Sqrt[696], 30]] (* Vincenzo Librandi, Jan 20 2014 *)

Crossrefs

Cf. A042338, A040668.

Sequence in context: A014260 A177246 A067517 * A137574 A041247 A117770

Adjacent sequences: A042336 A042337 A042338 * A042340 A042341 A042342

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 08 2013

Status

approved