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Search: id:A040013
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| A040013 |
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Continued fraction for sqrt(18). |
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+0
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; listen)
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OFFSET
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0,1
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LINKS
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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
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a(n)=6+2*(-1)^n-4*[C(2*n,n) mod 2], with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Mar 03 2008
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EXAMPLE
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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
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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 (ppl(AT)spl.at), Mar 03 2008
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PROGRAM
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(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
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Cf. A010474 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
Sequence in context: A137797 A140874 A021227 this_sequence A153132 A167275 A082075
Adjacent sequences: A040010 A040011 A040012 this_sequence A040014 A040015 A040016
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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