login
A100122
Decimal expansion of limit of a power tower: t(2)^(t(3)^(t(5)^(t(7)^(...)))) where t(n)=n^(1/n!) and n takes on consecutive prime values.
1
1, 5, 1, 7, 7, 7, 2, 3, 6, 6, 2, 1, 5, 2, 7, 5, 3, 9, 9, 7, 4, 3, 3, 6, 7, 3, 3, 5, 1, 8, 6, 9, 6, 2, 3, 2, 6, 5, 6, 0, 7, 8, 9, 9, 8, 3, 9, 4, 6, 3, 4, 9, 7, 4, 6, 9, 3, 6, 5, 5, 4, 0, 4, 3, 8, 0, 0, 5, 4, 4, 0, 9, 0, 3, 8, 9, 0, 7, 6, 8, 4, 5, 4, 4, 8, 9, 4, 7, 0, 4, 4, 0, 4, 7, 4, 6, 5, 8, 6, 9
OFFSET
1,2
EXAMPLE
1.51777236621527539974336733518696232656078998394634974693655404380054409...
PROG
(PARI) default(realprecision, 100); t=0; forstep(n=100, 1, -1, t=(prime(n)^(1/prime(n)!))^t); return(t)
CROSSREFS
Other power towers: A098454, A098584, A100120, A100121.
Sequence in context: A088515 A200638 A322104 * A368668 A001945 A342921
KEYWORD
cons,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004
STATUS
approved