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A040031
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Continued fraction for sqrt(38).
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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; 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)=9+3*(-1)^n-6*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jun 09 2009]
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EXAMPLE
| 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
| Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
| ContinuedFraction[Sqrt[38], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 06 2011*)
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PROG
| (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
| Cf. A010492 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 04 2009]
Sequence in context: A163757 A109538 A173319 * A205695 A205029 A124508
Adjacent sequences: A040028 A040029 A040030 * A040032 A040033 A040034
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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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