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A098584 Limit of the power tower t(2)^(t(3)^(t(4)^(t(5)^(...) ...))) in which t(n)=n^(1/n!). 4
1, 5, 2, 3, 2, 3, 0, 3, 2, 4, 2, 0, 8, 5, 2, 9, 8, 3, 0, 7, 0, 4, 3, 0, 8, 1, 7, 2, 5, 1, 7, 7, 0, 6, 5, 5, 7, 6, 2, 2, 8, 6, 3, 5, 2, 9, 1, 7, 7, 5, 8, 3, 8, 0, 4, 4, 2, 3, 2, 1, 1, 4, 6, 2, 8, 3, 4, 3, 3, 3, 5, 7, 1, 8, 9, 7, 6, 6, 2, 8, 0, 4, 9, 7, 1, 9, 6, 5, 9, 2, 4, 5, 4, 3, 3, 6, 4, 1, 9, 3, 6, 6, 1, 9, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

1.523230324208529830704308172517706557622863529177583804423211462834333571897662804971965924543364193...

MAPLE

m:=1: for n from 300 to 2 by -1 do: m:=(n^(1/n!))^m: od: evalf(m, 100);

MATHEMATICA

f[n_] := Block[{k = n, e = 1}, While[k > 1, e = N[(k^(1/k!))^e, 128]; k-- ]; e]; RealDigits[ f[18], 10, 105][[1]] (* Robert G. Wilson v, Sep 18 2004 *)

CROSSREFS

See A098454 for the limit if t(n)=n^(1/n).

Sequence in context: A155551 A259027 A214064 * A081750 A291358 A059650

Adjacent sequences:  A098581 A098582 A098583 * A098585 A098586 A098587

KEYWORD

cons,easy,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 16 2004

STATUS

approved

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)