A040962 Continued fraction for sqrt(994).

31, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1, 8, 1, 1, 62, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants

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

Formula

G.f.: -(31*x^6+x^5+x^4+8*x^3+x^2+x+31)/((x-1)*(x+1)*(x^2-x+1)*(x^2+x+1)). - Colin Barker, Aug 11 2012

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(994)), confrac);

Mathematica

ContinuedFraction[Sqrt[994], 100] (* Paolo Xausa, Nov 14 2025 *)
(* Alternative: *)
PadRight[{31}, 100, {62, 1, 1, 8, 1, 1}] (* Paolo Xausa, Nov 14 2025 *)

Crossrefs

Cf. A042924, A042925 (convergents).

Sequence in context: A040966 A040964 A040963 * A040961 A300656 A239633

Adjacent sequences: A040959 A040960 A040961 * A040963 A040964 A040965

Keyword

nonn,cofr,easy,changed

Author

N. J. A. Sloane

Status

approved