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Continued fraction for sqrt(216).
2

%I #25 Jun 30 2026 16:20:41

%S 14,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,

%T 1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,

%U 3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2,3,2,1,28,1,2

%N Continued fraction for sqrt(216).

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1).

%p with(numtheory): Digits := 300: convert(evalf(sqrt(216)),confrac);

%t ContinuedFraction[Sqrt[216],100] (* _Harvey P. Dale_, Aug 06 2025 *)

%t (* Alternative: *)

%t PadRight[{14},100,{28,1,2,3,2,1}] (* _Harvey P. Dale_, Aug 06 2025 *)

%Y Cf. A041402/A041403 (convergents), A343906 (decimal expansion).

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_