

A040012


Continued fraction for sqrt(17).


7



4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
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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 to divisibility sequences
Index entries for linear recurrences with constant coefficients, signature (1).


FORMULA

a(n) = 8  4*(binomial(2*n,n) mod 2), with n>=0.  Paolo P. Lava, Jun 11 2009


EXAMPLE

4.123105625617660549821409855... = 4 + 1/(8 + 1/(8 + 1/(8 + 1/(8 + ...)))).  Harry J. Smith, Jun 03 2009


MAPLE

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


MATHEMATICA

ContinuedFraction[Sqrt[17], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)
PadRight[{4}, 100, 8] (* Harvey P. Dale, Jun 22 2015 *)


PROG

(PARI) { allocatemem(932245000); default(realprecision, 37000); x=contfrac(sqrt(17)); for (n=0, 20000, write("b040012.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 2009


CROSSREFS

Cf. A010473 Decimal expansion.
Sequence in context: A032566 A200357 A201405 * A054006 A029679 A304651
Adjacent sequences: A040009 A040010 A040011 * A040013 A040014 A040015


KEYWORD

nonn,cofr,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



