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A100122
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Decimal expansion of limit of a power tower: t(2)^(t(3)^(t(5)^(t(7)^(...)))) where t(n)=n^(1/n!) and takes takes on consecutive prime values.
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1
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1, 5, 1, 7, 7, 7, 2, 3, 6, 6, 2, 1, 5, 2, 7, 5, 3, 9, 9, 7, 4, 3, 3, 6, 7, 3, 3, 5, 1, 8, 6, 9, 6, 2, 3, 2, 6, 5, 6, 0, 7, 8, 9, 9, 8, 3, 9, 4, 6, 3, 4, 9, 7, 4, 6, 9, 3, 6, 5, 5, 4, 0, 4, 3, 8, 0, 0, 5, 4, 4, 0, 9, 0, 3, 8, 9, 0, 7, 6, 8, 4, 5, 4, 4, 8, 9, 4, 7, 0, 4, 4, 0, 4, 7, 4, 6, 5, 8, 6, 9
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..100.
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EXAMPLE
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1.51777236621527539974336733518696232656078998394634974693655404380054409...
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PROG
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(PARI) default(realprecision, 100):t=0:forstep(n=100, 1, -1, t=(prime(n)^(1/prime(n)!))^t):return(t)
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CROSSREFS
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Other power towers: A098454, A098584, A100120, A100121.
Sequence in context: A187561 A088515 A200638 * A001945 A051854 A006569
Adjacent sequences: A100119 A100120 A100121 * A100123 A100124 A100125
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KEYWORD
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cons,nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004
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STATUS
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approved
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