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A010137
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Continued fraction for sqrt(47).
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5
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6, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12
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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) = 5, a(2^e) = 12 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-2) + 7/4^s). (End)
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EXAMPLE
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6.85565460040104412493587144... = 6 + 1/(1 + 1/(5 + 1/(1 + 1/(12 + ...)))). - Harry J. Smith, Jun 06 2009
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MATHEMATICA
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(47)); for (n=0, 20000, write("b010137.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 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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