cp's OEIS Frontend

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.

%I A100123 #1 Feb 20 2005 03:00:00
%S A100123 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,
%T A100123 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,
%U A100123 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
%N 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.
%e A100123 1.629490299522807769347950101957958648160014570676713793460996207420668328...
%o A100123 (PARI) default(realprecision,100):t=0:forstep(n=100,2,-1,t=(n!^(1/n!))^t):return(t)
%Y A100123 Cf. A098454, A098584, A100120, A100121, A100122.
%K A100123 cons,nonn
%O A100123 1,2
%A A100123 Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004