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A010127
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Continued fraction for sqrt(23).
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4
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4, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8, 1, 3, 1, 8
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listen;
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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) = 3, a(2^e) = 8 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) + 5/4^s). (End)
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EXAMPLE
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4.795831523312719541597438064... = 4 + 1/(1 + 1/(3 + 1/(1 + 1/(8 + ...)))). - Harry J. Smith, Jun 03 2009
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MATHEMATICA
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(23)); for (n=0, 20000, write("b010127.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 03 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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