A041686 Numerators of continued fraction convergents to sqrt(363).

19, 362, 13775, 262087, 9973081, 189750626, 7220496869, 137379191137, 5227629760075, 99462344632562, 3784796725797431, 72010600134783751, 2740187601847579969, 52135575035238803162, 1983892038940922100125, 37746084314912758705537, 1436335096005625752910531

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,724,0,-1).

Formula

G.f.: -(x^3-19*x^2-362*x-19) / (x^4-724*x^2+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[363], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 724, 0, -1}, {19, 362, 13775, 262087}, 20] (* Harvey P. Dale, Sep 08 2020 *)

Crossrefs

Cf. A041687.

Sequence in context: A001029 A057685 A243399 * A263371 A023283 A075839

Adjacent sequences: A041683 A041684 A041685 * A041687 A041688 A041689

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved