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, 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

Links

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

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

Adjacent sequences: A100119 A100120 A100121 * A100123 A100124 A100125

Keyword

cons,nonn

Author

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

Status

approved