id:A100122 - OEIS Search Results

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Decimal expansion of limit of a power tower: t(2)^(t(3)^(t(5)^(t(7)^(...)))) where t(n)=n^(1/n!) and takes takes on consecutive prime values.

+0
2

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 (list; cons; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`1.51777236621527539974336733518696232656078998394634974693655404380054409...`
	PROGRAM	`(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: A035109 A101263 A088515 this_sequence A001945 A051854 A006569` `Adjacent sequences: A100119 A100120 A100121 this_sequence A100123 A100124 A100125`
	KEYWORD	`cons,nonn`
	AUTHOR	`Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 11 2004`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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