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

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.

Sequence in context: A342487 A342613 A041031 * A095075 A307161 A294560

Adjacent sequences: A041962 A041963 A041964 * A041966 A041967 A041968

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved