A040387 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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