login
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.
0
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
OFFSET
1,2
EXAMPLE
1.629490299522807769347950101957958648160014570676713793460996207420668328...
PROG
(PARI) default(realprecision, 100):t=0:forstep(n=100, 2, -1, t=(n!^(1/n!))^t):return(t)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004
STATUS
approved