A040938 Continued fraction for sqrt(970).

31, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1, 6, 62, 6, 1, 9, 1, 1, 9, 1

Offset

0,1

Links

Table of n, a(n) for n=0..88.

Index entries for continued fractions for constants

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

Formula

G.f.: -(x+1)*(31*x^8-25*x^7+26*x^6-17*x^5+18*x^4-17*x^3+26*x^2-25*x+31)/((x-1)*(x^2+x+1)*(x^6+x^3+1)). [Colin Barker, Aug 11 2012]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(970)), confrac);

Mathematica

ContinuedFraction[Sqrt[970], 100] (* Paolo Xausa, Nov 13 2025 *)

Crossrefs

Cf. A042876, A042877 (convergents).

Sequence in context: A040941 A213917 A191548 * A040939 A040937 A187810

Adjacent sequences: A040935 A040936 A040937 * A040939 A040940 A040941

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved