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A010144
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Continued fraction for sqrt(59).
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3
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7, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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FORMULA
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Multiplicative with a(2^e) = 2, a(3^e) = 7, and a(p^e) = 1 for p >= 5.
Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 2/3^(s-1)). (End)
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EXAMPLE
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7.681145747868608175769687021... = 7 + 1/(1 + 1/(2 + 1/(7 + 1/(2 + ...)))). - Harry J. Smith, Jun 07 2009
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MATHEMATICA
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PadRight[{7}, 120, {14, 1, 2, 7, 2, 1}] (* Harvey P. Dale, May 15 2017 *)
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(59)); for (n=0, 20000, write("b010144.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 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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