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

Author

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

Keywords

• cons
• nonn

Examples

			1.51777236621527539974336733518696232656078998394634974693655404380054409...
		

Crossrefs

Other power towers: A098454, A098584, A100120, A100121.

Programs

PARI

default(realprecision,100); t=0; forstep(n=100,1,-1,t=(prime(n)^(1/prime(n)!))^t); return(t)