

A040042


Continued fraction for sqrt(50) = 5*sqrt(2).


6



7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14
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OFFSET

0,1


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 (1).


FORMULA

a(n) = 14  7*(binomial(2*n,n) mod 2), with n>=0.  Paolo P. Lava, Jun 09 2009


EXAMPLE

7.07106781186547524400844... = 7 + 1/(14 + 1/(14 + 1/(14 + 1/(14 + ...)))).  Harry J. Smith, Jun 01 2009


MAPLE

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


MATHEMATICA

ContinuedFraction[Sqrt[50], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)


PROG

(PARI) { allocatemem(932245000); default(realprecision, 47000); x=contfrac(sqrt(50)); for (n=0, 20000, write("b040042.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 01 2009


CROSSREFS

Cf. A010503.
Sequence in context: A064666 A269160 A286418 * A233366 A232831 A232877
Adjacent sequences: A040039 A040040 A040041 * A040043 A040044 A040045


KEYWORD

nonn,cofr,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



