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A040166
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Continued fraction for sqrt(180).
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1
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13, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2, 26, 2, 2, 2
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..71.
Index entries for continued fractions for constants
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1).
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FORMULA
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a(n)=(1/3)*{-14*(n mod 4)+4*[(n+1) mod 4]+4*[(n+2) mod 4]+22*[(n+3) mod 4]}-13*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 10 2009]
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MAPLE
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Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
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MATHEMATICA
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ContinuedFraction[Sqrt[180], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 26 2011*)
PadRight[{13}, 100, {26, 2, 2, 2}] (* Harvey P. Dale, Sep 13 2014 *)
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CROSSREFS
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Sequence in context: A010222 A086266 A217436 * A100395 A051310 A010224
Adjacent sequences: A040163 A040164 A040165 * A040167 A040168 A040169
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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