A042057 Denominators of continued fraction convergents to sqrt(552).

1, 2, 93, 188, 8741, 17670, 821561, 1660792, 77217993, 156096778, 7257669781, 14671436340, 682143741421, 1378958919182, 64114254023793, 129607466966768, 6026057734495121, 12181722935957010, 566385312788517581, 1144952348512992172

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,94,0,-1).

Formula

G.f.: -(x^2-2*x-1) / (x^4-94*x^2+1). - Colin Barker, Nov 30 2013

a(n) = 94*a(n-2) - a(n-4). - Wesley Ivan Hurt, Sep 05 2022

Mathematica

Denominator[Convergents[Sqrt[552], 30]] (* Vincenzo Librandi, Jan 13 2014 *)

Crossrefs

Cf. A042056, A040528.

Sequence in context: A166825 A348852 A365852 * A214542 A137322 A239006

Adjacent sequences: A042054 A042055 A042056 * A042058 A042059 A042060

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 30 2013

Status

approved