A041963 Denominators of continued fraction convergents to sqrt(504).

1, 2, 9, 20, 889, 1798, 8081, 17960, 798321, 1614602, 7256729, 16128060, 716891369, 1449910798, 6516534561, 14482979920, 643767651041, 1302018282002, 5851840779049, 13005699840100, 578102633743449, 1169210967326998, 5254946503051441, 11679103973429880

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,898,0,0,0,-1).

Formula

G.f.: -(x^2-2*x-1)*(x^4+10*x^2+1) / ((x^4-30*x^2+1)*(x^4+30*x^2+1)). - Colin Barker, Nov 28 2013

Mathematica

Denominator[Convergents[Sqrt[504], 30]] (* Vincenzo Librandi, Dec 28 2013 *)
LinearRecurrence[{0, 0, 0, 898, 0, 0, 0, -1}, {1, 2, 9, 20, 889, 1798, 8081, 17960}, 40] (* Harvey P. Dale, Apr 14 2021 *)

Crossrefs

Cf. A041962, A040481.

Sequence in context: A337015 A041285 A002888 * A298912 A368187 A005476

Adjacent sequences: A041960 A041961 A041962 * A041964 A041965 A041966

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved