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A040216
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Continued fraction for sqrt(232).
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1
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15, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3, 7, 3, 4, 30, 4, 3
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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..86.
Index entries for continued fractions for constants
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 1).
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FORMULA
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a(n)=(1/132)*{-269*(n mod 12)+6*[(n+1) mod 12]+61*[(n+2) mod 12]-27*[(n+3) mod 12]+21*[(n+4) mod 12]+303*[(n+5) mod 12]-269*[(n+6) mod 12]+6*[(n+7) mod 12]+61*[(n+8) mod 12]-27*[(n+9) mod 12]+21*[(n+10) mod 12]+303*[(n+11) mod 12]}-15*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 23 2009]
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MAPLE
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with(numtheory): Digits := 300: convert(evalf(sqrt(232)), confrac);
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MATHEMATICA
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ContinuedFraction[Sqrt[232], 100] (* or *) PadRight[{15}, 100, {30, 4, 3, 7, 3, 4}] (* Harvey P. Dale, Apr 18 2020 *)
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CROSSREFS
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Sequence in context: A317315 A330361 A291157 * A349710 A348924 A278872
Adjacent sequences: A040213 A040214 A040215 * A040217 A040218 A040219
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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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