id:A100120 - OEIS Search Results

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Limit of the power tower t(2)^(t(3)^(t(5)^(t(7)^(...)))) with t(n)=n!^(1/n!) and n taking prime values.

+0
4

1, 6, 0, 4, 6, 5, 1, 2, 1, 8, 4, 1, 0, 0, 5, 5, 8, 2, 7, 9, 8, 3, 8, 6, 6, 5, 1, 1, 0, 1, 5, 1, 7, 3, 3, 9, 8, 8, 0, 8, 6, 4, 9, 7, 5, 4, 6, 9, 9, 5, 8, 0, 3, 4, 0, 4, 8, 4, 5, 7, 2, 7, 2, 8, 3, 2, 7, 1, 1, 4, 9, 2, 5, 5, 9, 9, 5, 4, 0, 0, 5, 3, 7, 9, 9, 1, 7, 5, 6, 0, 1, 9, 9, 0, 6, 5, 5, 9, 8, 2 (list; cons; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Let f(n)=n!^(1/n!). Then this number is f(2)^(f(3)^(f(5)^(...)))`
	EXAMPLE	`1.604651218410055827983866511015173398808649754699580...`
	PROGRAM	`(PARI) default(realprecision, 100):t=1:forstep(n=100, 1, -1, t=(prime(n)!^(1/prime(n)!))^t):return(t)`
	CROSSREFS	`Cf. A077589, A077590, A073243, A098454, A098584.` `Sequence in context: A094830 A021947 A073010 this_sequence A132709 A113024 A112280` `Adjacent sequences: A100117 A100118 A100119 this_sequence A100121 A100122 A100123`
	KEYWORD	`cons,nonn`
	AUTHOR	`Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 09 2004`
	EXTENSIONS	`Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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