A040952 Continued fraction for sqrt(984).

31, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2, 62, 2, 1, 2, 2, 7, 2, 2, 1, 2

Offset

0,1

Links

Table of n, a(n) for n=0..89.

Index entries for continued fractions for constants

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

Formula

G.f.: -(31*x^10+2*x^9+x^8+2*x^7+2*x^6+7*x^5+2*x^4+2*x^3+x^2+2*x+31)/((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). [Colin Barker, Aug 11 2012]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(984)), confrac);

Mathematica

ContinuedFraction[Sqrt[984], 100] (* Paolo Xausa, Nov 14 2025 *)
PadRight[{31}, 120, {62, 2, 1, 2, 2, 7, 2, 2, 1, 2}] (* Harvey P. Dale, Mar 01 2026 *)

Crossrefs

Cf. A042904, A042905 (convergents).

Sequence in context: A103474 A047687 A040953 * A040951 A040950 A040955

Adjacent sequences: A040949 A040950 A040951 * A040953 A040954 A040955

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved