A040387 Continued fraction for sqrt(408).

20, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40, 5, 40

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

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

Formula

a(n) = 5*(9+7*(-1)^n)/2 for n>0. a(n) = a(n-2) for n>2. G.f.: -5*(4*x^2+x+4) / ((x-1)*(x+1)). [Colin Barker, Mar 25 2013]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(408)), confrac);

Mathematica

Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[408], 100]]
(* or *)
PadRight[{20}, 100, {40, 5}] (* Harvey P. Dale, Oct 06 2020 *)

Crossrefs

Sequence in context: A104158 A068612 A233820 * A201137 A040385 A161997

Adjacent sequences: A040384 A040385 A040386 * A040388 A040389 A040390

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved