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A040043
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Continued fraction for sqrt(51).
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3
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7, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7
(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)=(1/2)*[21+7*(-1)^n]-7*[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
| 7.1414284285428499979993998... = 7 + 1/(7 + 1/(14 + 1/(7 + 1/(14 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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MAPLE
| Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
| ContinuedFraction[Sqrt[51], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 41000); x=contfrac(sqrt(51)); for (n=0, 20000, write("b040043.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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CROSSREFS
| Cf. A010504 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Sequence in context: A109539 A109541 A173314 * A003872 A168374 A112438
Adjacent sequences: A040040 A040041 A040042 * A040044 A040045 A040046
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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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