A042399 Denominators of continued fraction convergents to sqrt(726).

1, 1, 17, 18, 953, 971, 16489, 17460, 924409, 941869, 15994313, 16936182, 896675777, 913611959, 15514467121, 16428079080, 869774579281, 886202658361, 15049017113057, 15935219771418, 843680445226793, 859615664998211, 14597531085198169, 15457146750196380

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, 970, 0, 0, 0, -1).

Formula

G.f.: -(x^2-x-1)*(x^4+18*x^2+1) / (x^8-970*x^4+1). - Colin Barker, Dec 10 2013

Mathematica

Denominator[Convergents[Sqrt[726], 30]] (* Vincenzo Librandi, Jan 21 2014 *)

Crossrefs

Cf. A042398, A040699.

Sequence in context: A041608 A041609 A041610 * A156656 A130808 A194389

Adjacent sequences: A042396 A042397 A042398 * A042400 A042401 A042402

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 10 2013

Status

approved