id:A098584 - OEIS Search Results

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Limit of the power tower t(2)^(t(3)^(t(4)^(t(5)^(...) ...))) in which t(n)=n^(1/n!).

+0
5

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

	OFFSET	`1,2`
	EXAMPLE	`1.523230324208529830704308172517706557622863529177583804423211462834333571897662804971965924543364193...`
	MAPLE	`m:=1: for n from 300 to 2 by -1 do: m:=(n^(1/n!))^m: od: evalf(m, 100);`
	MATHEMATICA	`f[n_] := Block[{k = n, e = 1}, While[k > 1, e = N[(k^(1/k!))^e, 128]; k-- ]; e]; RealDigits[ f[18], 10, 105][[1]] (from Robert G. Wilson v Sep 18 2004)`
	CROSSREFS	`See A098454 for the limit if t(n)=n^(1/n).` `Sequence in context: A089261 A111716 A155551 this_sequence A081750 A059650 A112244` `Adjacent sequences: A098581 A098582 A098583 this_sequence A098585 A098586 A098587`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 16 2004`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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