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A040013
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Continued fraction for sqrt(18).
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2
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4, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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FORMULA
| a(n)=6+2*(-1)^n-4*[C(2*n,n) mod 2], with n>=0 - Paolo P. Lava (paoloplava(AT)gmail.com), Mar 03 2008
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EXAMPLE
| 4.242640687119285146405066172... = 4 + 1/(4 + 1/(8 + 1/(4 + 1/(8 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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MAPLE
| Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
P:=proc(n) local i; for i from 0 by 1 to n do print(6+2*(-1)^i-4*(binomial(2*i, i) mod 2)); od; end: P(100); - Paolo P. Lava (paoloplava(AT)gmail.com), Mar 03 2008
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MATHEMATICA
| ContinuedFraction[Sqrt[18], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 05 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 31000); x=contfrac(sqrt(18)); for (n=0, 20000, write("b040013.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
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CROSSREFS
| Cf. A010474 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
Sequence in context: A176295 A140874 A021227 * A153132 A167275 A082075
Adjacent sequences: A040010 A040011 A040012 * A040014 A040015 A040016
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KEYWORD
| nonn,cofr,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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