A040059 Continued fraction for sqrt(68).

8, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy

Examples

			8.2462112512353210996428197... = 8 + 1/(4 + 1/(16 + 1/(4 + 1/(16 + ...)))). - _Harry J. Smith_, Jun 08 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• G. Xiao, Contfrac
• Index entries for continued fractions for constants
• Index entries for linear recurrences with constant coefficients, signature (0, 1).

Crossrefs

Cf. A010520 Decimal expansion. - Harry J. Smith, Jun 08 2009

Programs

Maple

Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

Mathematica

ContinuedFraction[Sqrt[68],300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PARI

{ allocatemem(932245000); default(realprecision, 37000); x=contfrac(sqrt(68)); for (n=0, 20000, write("b040059.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009