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A106040
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First 9-free digit in the fractional part of the decimal expansion of (1/10^n)^(1/10^n).
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0
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0, 7, 5, 3, 0, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
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OFFSET
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0,2
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LINKS
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EXAMPLE
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(1/10^0)^(1/10^0) =1^1 = 1.000000.. 9-free = 0
(1/10^1)^(1/10^1) =(1/10)^(1/10) = 0.794328.. = 7
(1/10^2)^(1/10^2) =(1/100)^(1/100) = 0.954992.. = 5
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PROG
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(PARI) zerotozero(n) = { local(x, y, z, v, j); for(x=0, n, y=10^x; v=(1./y)^(1/y); z=Vec(Str(v)); for(j=3, n, if(z[j]<>"9", print1(z[j]", "); break) ) ) }
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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