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A100120 Limit of the power tower t(2)^(t(3)^(t(5)^(t(7)^(...)))) with t(n)=n!^(1/n!) and n taking prime values. 3
1, 6, 0, 4, 6, 5, 1, 2, 1, 8, 4, 1, 0, 0, 5, 5, 8, 2, 7, 9, 8, 3, 8, 6, 6, 5, 1, 1, 0, 1, 5, 1, 7, 3, 3, 9, 8, 8, 0, 8, 6, 4, 9, 7, 5, 4, 6, 9, 9, 5, 8, 0, 3, 4, 0, 4, 8, 4, 5, 7, 2, 7, 2, 8, 3, 2, 7, 1, 1, 4, 9, 2, 5, 5, 9, 9, 5, 4, 0, 0, 5, 3, 7, 9, 9, 1, 7, 5, 6, 0, 1, 9, 9, 0, 6, 5, 5, 9, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Let f(n)=n!^(1/n!). Then this number is f(2)^(f(3)^(f(5)^(...)))

LINKS

Table of n, a(n) for n=1..100.

EXAMPLE

1.604651218410055827983866511015173398808649754699580...

PROG

(PARI) default(realprecision, 100):t=1:forstep(n=100, 1, -1, t=(prime(n)!^(1/prime(n)!))^t):return(t)

CROSSREFS

Cf. A077589, A077590, A073243, A098454, A098584.

Sequence in context: A341325 A021947 A073010 * A132709 A197148 A196623

Adjacent sequences:  A100117 A100118 A100119 * A100121 A100122 A100123

KEYWORD

cons,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 09 2004

EXTENSIONS

Offset corrected by R. J. Mathar, Feb 05 2009

STATUS

approved

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Last modified January 17 17:47 EST 2022. Contains 350402 sequences. (Running on oeis4.)