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A040037
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Continued fraction for sqrt(44).
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3
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6, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 1, 2, 1
(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)=(1/56)*{-72*(n mod 8)+5*[(n+1) mod 8]+5*[(n+2) mod 8]+12*[(n+3) mod 8]-2*[(n+4) mod 8]+5*[(n+5) mod 8]+5*[(n+6) mod 8]+82*[(n+7) mod 8]}-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
| 6.633249580710799698229865473... = 6 + 1/(1 + 1/(1 + 1/(1 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
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MAPLE
| Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
| ContinuedFraction[Sqrt[44], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 06 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 14000); x=contfrac(sqrt(44)); for (n=0, 20000, write("b040037.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
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CROSSREFS
| Cf. A010498 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 05 2009]
Sequence in context: A202917 A167155 A080219 * A009194 A007732 A126795
Adjacent sequences: A040034 A040035 A040036 * A040038 A040039 A040040
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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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