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A010122
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Continued fraction for sqrt(13).
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9
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3, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6
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OFFSET
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0,1
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COMMENTS
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Eventual period is (1, 1, 1, 1, 6). - Zak Seidov, Mar 05 2011
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LINKS
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FORMULA
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Multiplicative with a(5^e) = 6, and a(p^e) = 1 for p != 5.
Dirichlet g.f.: zeta(s) * (1 + 1/5^(s-1)). (End)
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EXAMPLE
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3.605551275463989293119221267... = 3 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Jun 02 2009
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MATHEMATICA
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 13000); x=contfrac(sqrt(13)); for (n=0, 20000, write("b010122.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 02 2009
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CROSSREFS
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KEYWORD
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nonn,cofr,easy,mult
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AUTHOR
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STATUS
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approved
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