A042745 Denominators of continued fraction convergents to sqrt(903).

1, 20, 1201, 24040, 1443601, 28896060, 1735207201, 34733040080, 2085717612001, 41749085280100, 2507030834418001, 50182365773640120, 3013448977252825201, 60319161910830144140, 3622163163627061473601, 72503582434452059616160

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,1202,0,-1).

Formula

G.f.: -(x^2-20*x-1) / (x^4-1202*x^2+1). - Colin Barker, Dec 22 2013

Mathematica

Denominator[Convergents[Sqrt[903], 30]] (* Vincenzo Librandi, Jan 28 2014 *)
LinearRecurrence[{0, 1202, 0, -1}, {1, 20, 1201, 24040}, 20] (* Harvey P. Dale, Oct 14 2019 *)

Crossrefs

Cf. A042744, A040872.

Sequence in context: A151625 A203775 A184269 * A363054 A158912 A036067

Adjacent sequences: A042742 A042743 A042744 * A042746 A042747 A042748

Keyword

nonn,frac,easy,less

Author

N. J. A. Sloane.

Extensions

Additional term from Colin Barker, Dec 22 2013

Status

approved