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 A241294 Decimal expansion of 5^(5^(5^5)) = 5^^4. 11
 1, 1, 1, 1, 0, 2, 8, 8, 0, 8, 1, 7, 9, 9, 9, 7, 4, 4, 5, 2, 8, 6, 1, 7, 8, 2, 7, 4, 1, 8, 6, 0, 5, 7, 5, 4, 5, 1, 6, 7, 3, 4, 6, 5, 2, 0, 5, 9, 6, 2, 7, 2, 1, 5, 4, 7, 3, 3, 3, 8, 6, 7, 4, 5, 2, 2, 5, 1, 9, 6, 5, 5, 4, 8, 3, 3, 7, 4, 0, 1, 8, 4, 7, 3, 5, 2, 0, 9, 9, 4, 0, 1, 8, 1, 1, 0, 5, 7, 3, 6, 4, 3, 5, 0, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS The offset is 1 because the true offset would be 1.335740484... * 10^2184, which is too large to be represented properly in the OEIS. LINKS Table of n, a(n) for n=1..105. Robert P. Munafo, Hyper4 Iterated Exponential Function.. FORMULA 5^(5^(5^5)) = ((((( ... 3114 ... (((((5^5)^5)^5)^5)^5) ... 3114 ... ^5)^5)^5)^5)^5)^5. EXAMPLE 1111028808179997445286178274186057545167346520596272154733386745225196554833740184735209940181105736...(1.335740484... * 10^2184)...3293393812245587348839009777160541868907233602002347435809721798438687301313620992004871368408203125. The above line shows the first one hundred decimal digits and the last one hundred digits with the number of unrepresented digits in parenthesis. The final one hundred digits where computed by: PowerMod[5, 5^5^5, 10^100]. MATHEMATICA nbrdgt = 105; f[base_, exp_] := RealDigits[ 10^FractionalPart[ N[ exp*Log10[ base], nbrdgt + Floor[ Log10[ exp]] + 2]], 10, nbrdgt][[1]]; f[ 5, 5^5^5] (* or *) p = 5; f[n_] := Quotient[n^p, 10^(Floor[p * Log10@ n] - (1004 + p^p))]; IntegerDigits@ Quotient[ Nest[ f@ # &, p, p^p], 10^(900 + p^p)] CROSSREFS Cf. A085667, A202955, A054382, A014221, A241291, A241292, A241293, A241295, A241296, A241297, A241298, A241299, A243913. Sequence in context: A344692 A256166 A021976 * A196775 A021351 A011061 Adjacent sequences: A241291 A241292 A241293 * A241295 A241296 A241297 KEYWORD nonn,cons,fini AUTHOR Robert Munafo and Robert G. Wilson v, Apr 18 2014 EXTENSIONS Keyword: fini added by Jianing Song, Sep 18 2019 STATUS approved

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Last modified June 18 10:39 EDT 2024. Contains 373479 sequences. (Running on oeis4.)