A042579 Denominators of continued fraction convergents to sqrt(818).

1, 1, 2, 3, 5, 283, 288, 571, 859, 1430, 80939, 82369, 163308, 245677, 408985, 23148837, 23557822, 46706659, 70264481, 116971140, 6620648321, 6737619461, 13358267782, 20095887243, 33454155025, 1893528568643, 1926982723668, 3820511292311, 5747494015979

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 286, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^4-3*x^3+4*x^2-2*x+1)*(x^4+2*x^3+4*x^2+3*x+1) / (x^10+286*x^5-1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[818], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 0, 286, 0, 0, 0, 0, 1}, {1, 1, 2, 3, 5, 283, 288, 571, 859, 1430}, 30] (* Harvey P. Dale, Jun 15 2014 *)

Crossrefs

Cf. A042578, A040789.

Sequence in context: A333803 A338262 A376605 * A033090 A303371 A362182

Adjacent sequences: A042576 A042577 A042578 * A042580 A042581 A042582

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved