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A090663
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Second term in continued fraction for the n-th root of n.
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0
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2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18
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OFFSET
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2,1
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COMMENTS
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The number of n's is: 5,4,4,5,4,5,5,5,5,5,5,6,5,6,5,6,6,5,6,6,6,6,...,
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LINKS
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MATHEMATICA
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Table[ ContinuedFraction[n^(1/n), 2][[ -1]], {n, 2, 83}] (* Robert G. Wilson v, Dec 22 2003 *)
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PROG
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(PARI) f(n) = for(x=2, n, a=contfrac(x^(1/x)); print1(a[2]", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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