A042577 Denominators of continued fraction convergents to sqrt(817).

1, 1, 2, 5, 7, 12, 679, 691, 1370, 3431, 4801, 8232, 465793, 474025, 939818, 2353661, 3293479, 5647140, 319533319, 325180459, 644713778, 1614608015, 2259321793, 3873929808, 219199391041, 223073320849, 442272711890, 1107618744629, 1549891456519, 2657510201148

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, 0, 686, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-6*x^3-1) / (x^12-686*x^6+1). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[817], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 686, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 5, 7, 12, 679, 691, 1370, 3431, 4801, 8232}, 40] (* Harvey P. Dale, Jun 20 2020 *)

Crossrefs

Cf. A042576, A040788.

Sequence in context: A041203 A041517 A041975 * A092792 A238336 A083271

Adjacent sequences: A042574 A042575 A042576 * A042578 A042579 A042580

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved