A040768 Continued fraction for sqrt(797).

28, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4, 56, 4, 3, 13, 1

Offset

0,1

Links

Table of n, a(n) for n=0..81.

Index entries for continued fractions for constants

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

Formula

G.f.: -(x +1)*(28*x^10 -24*x^9 +27*x^8 -14*x^7 +15*x^6 -11*x^5 +15*x^4 -14*x^3 +27*x^2 -24*x +28)/((x -1)*(x^10 +x^9 +x^8 +x^7 +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(797)), confrac);

Mathematica

ContinuedFraction[Sqrt[797], 100] (* or *) PadRight[{28}, 100, {56, 4, 3, 13, 1, 4, 4, 1, 13, 3, 4}] (* Harvey P. Dale, Nov 17 2014 *)

Crossrefs

Sequence in context: A040773 A304715 A040767 * A040769 A040765 A040766

Adjacent sequences: A040765 A040766 A040767 * A040769 A040770 A040771

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved