A042399 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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.