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Search: id:A040031
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| A040031 |
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Continued fraction for sqrt(38). |
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+0
2
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| 6, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6
(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)=9+3*(-1)^n-6*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 09 2009]
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EXAMPLE
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6.1644140029689764502501923... = 6 + 1/(6 + 1/(12 + 1/(6 + 1/(12 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 38000); x=contfrac(sqrt(38)); for (n=0, 20000, write("b040031.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
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CROSSREFS
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Cf. A010492 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
Sequence in context: A095899 A163757 A109538 this_sequence A124508 A028317 A055665
Adjacent sequences: A040028 A040029 A040030 this_sequence A040032 A040033 A040034
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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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