A041370 Numerators of continued fraction convergents to sqrt(200).

14, 99, 2786, 19601, 551614, 3880899, 109216786, 768398401, 21624372014, 152139002499, 4281516441986, 30122754096401, 847718631141214, 5964153172084899, 167844007449518386, 1180872205318713601, 33232265756373499214, 233806732499933208099

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,198,0,-1).

Formula

G.f.: -(x^3-14*x^2-99*x-14) / ((x^2-14*x-1)*(x^2+14*x-1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[200], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 198, 0, -1}, {14, 99, 2786, 19601}, 30] (* Harvey P. Dale, Jun 19 2022 *)

Crossrefs

Cf. A041371.

Sequence in context: A174614 A099193 A086951 * A244883 A055913 A283805

Adjacent sequences: A041367 A041368 A041369 * A041371 A041372 A041373

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved