A041965 - OEIS

A041965

Denominators of continued fraction convergents to sqrt(505).

1, 2, 17, 36, 1601, 3238, 27505, 58248, 2590417, 5239082, 44503073, 94245228, 4191293105, 8476831438, 72005944609, 152488720656, 6781509653473, 13715508027602, 116505573874289, 246726655776180, 10972478428026209, 22191683511828598, 188505946522654993

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OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1618,0,0,0,-1).

FORMULA

G.f.: -(x^2-2*x-1)*(x^4+18*x^2+1) / (x^8-1618*x^4+1). - Colin Barker, Nov 28 2013

MATHEMATICA

Denominator[Convergents[Sqrt[505], 30]] (* Vincenzo Librandi, Dec 28 2013 *)

CROSSREFS

Cf. A041964, A040482.