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A117493
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Decimal expansion of limit as n -> infinity of {1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(2n)}.
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1
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7, 1, 9, 4, 0, 5, 0, 3, 1, 2, 4, 5, 0, 9, 2, 1, 1, 8, 8, 0, 9, 0, 8, 1, 5, 3, 3, 5, 6, 4, 7, 6, 8, 7, 5, 9, 8, 0, 4, 3, 5, 5, 9, 4, 2, 1, 7, 3, 3, 0, 6, 1, 7, 9, 9, 7, 3, 7, 7, 4, 4, 9, 3, 0, 4, 5, 0, 8, 2, 2, 3, 9, 6, 7, 0, 2, 2, 0, 7, 9, 2, 7, 3, 6, 9, 6, 8, 7, 9, 3, 8, 6, 2, 3, 4, 1, 6, 1, 3, 2, 5, 5, 1, 8, 3
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OFFSET
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0,1
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COMMENTS
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This is the upper limit (limit superior) as m -> infinity of the sequence of real numbers 1/2, 1/2 ^ 1/3, 1/2 ^ 1/3 ^ 1/5, ..., 1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(m). The sequence oscillates. A117492 gives the lower limit.
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LINKS
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EXAMPLE
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0.71940503124509211880908153356476875...
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PROG
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(PARI) /* Call procedure with large even value for m */ a(m) = r=1/prime(m); forstep(k=m-1, 1, -1, r=(1/prime(k))^r); r
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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