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A041370
Numerators of continued fraction convergents to sqrt(200).
2
14, 99, 2786, 19601, 551614, 3880899, 109216786, 768398401, 21624372014, 152139002499, 4281516441986, 30122754096401, 847718631141214, 5964153172084899, 167844007449518386, 1180872205318713601, 33232265756373499214, 233806732499933208099
OFFSET
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
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 07 2013
STATUS
approved