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A010135
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Continued fraction for sqrt(45).
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3
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6, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 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)=(1/18)*{-29*(n mod 6)+7*[(n+1) mod 6]+4*[(n+2) mod 6]+4*[(n+3) mod 6]+[(n+4) mod 6]+37*[(n+5) mod 6]}-6*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 23 2009]
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EXAMPLE
| 6.708203932499369089227521006... = 6 + 1/(1 + 1/(2 + 1/(2 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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MATHEMATICA
| ContinuedFraction[Sqrt[45], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(45)); for (n=0, 20000, write("b010135.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
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CROSSREFS
| Cf. A010499 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Sequence in context: A085552 A002950 A121090 * A176401 A153736 A165070
Adjacent sequences: A010132 A010133 A010134 * A010136 A010137 A010138
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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