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A040048
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Continued fraction for sqrt(56).
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3
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7, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2
(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)=8+6*(-1)^n-7*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jun 10 2009]
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EXAMPLE
| 7.4833147735478827711674974... = 7 + 1/(2 + 1/(14 + 1/(2 + 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[56], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 30000); x=contfrac(sqrt(56)); for (n=0, 20000, write("b040048.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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CROSSREFS
| Cf. A010509 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Sequence in context: A090243 A145338 A104586 * A070429 A050092 A030406
Adjacent sequences: A040045 A040046 A040047 * A040049 A040050 A040051
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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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