A040923 Continued fraction for sqrt(954).

30, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1, 60, 1, 7, 1, 5, 3

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 (0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^2 +1)*(30*x^12 +x^11 -23*x^10 +28*x^8 +3*x^7 -26*x^6 +3*x^5 +28*x^4 -23*x^2 +x +30)/((x -1)*(x +1)*(x^6 -x^5 +x^4 -x^3 +x^2 -x +1)*(x^6 +x^5 +x^4 +x^3 +x^2 +x +1)). [Colin Barker, Aug 11 2012]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(954)), confrac);

Mathematica

ContinuedFraction[Sqrt[954], 100] (* or *) PadRight[{30}, 100, {60, 1, 7, 1, 5, 3, 2, 6, 2, 3, 5, 1, 7, 1}] (* Harvey P. Dale, Mar 05 2023 *)

Crossrefs

Sequence in context: A040921 A040920 A040922 * A040924 A040925 A040926

Adjacent sequences: A040920 A040921 A040922 * A040924 A040925 A040926

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved