A100123 - OEIS

A100123

Decimal expansion of limit of a power tower: t(2)^(t(3)^(t(4)^(t(5)^(...)))) where t(n)=n!^(1/n!) and n takes on consecutive integer values >=2.

1, 6, 2, 9, 4, 9, 0, 2, 9, 9, 5, 2, 2, 8, 0, 7, 7, 6, 9, 3, 4, 7, 9, 5, 0, 1, 0, 1, 9, 5, 7, 9, 5, 8, 6, 4, 8, 1, 6, 0, 0, 1, 4, 5, 7, 0, 6, 7, 6, 7, 1, 3, 7, 9, 3, 4, 6, 0, 9, 9, 6, 2, 0, 7, 4, 2, 0, 6, 6, 8, 3, 2, 8, 3, 6, 7, 7, 3, 3, 0, 9, 3, 0, 5, 1, 3, 4, 6, 2, 5, 3, 4, 1, 9, 3, 7, 6, 6, 4, 7

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OFFSET

1,2

LINKS

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

EXAMPLE

1.629490299522807769347950101957958648160014570676713793460996207420668328...

PROG

(PARI) default(realprecision, 100):t=0:forstep(n=100, 2, -1, t=(n!^(1/n!))^t):return(t)

CROSSREFS

Cf. A098454, A098584, A100120, A100121, A100122.

Sequence in context: A215261 A132826 A242724 * A228040 A153633 A118388

Adjacent sequences: A100120 A100121 A100122 * A100124 A100125 A100126

KEYWORD

cons,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004

STATUS

approved