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 A241291 Decimal expansion of 2^(2^(2^(2^(2^2)))) = 2^^6. 10
 2, 1, 2, 0, 0, 3, 8, 7, 2, 8, 8, 0, 8, 2, 1, 1, 9, 8, 4, 8, 8, 5, 1, 6, 4, 6, 9, 1, 6, 6, 2, 2, 7, 4, 6, 3, 0, 8, 3, 5, 6, 5, 4, 2, 3, 0, 6, 7, 5, 3, 7, 2, 4, 8, 3, 6, 2, 5, 9, 5, 1, 7, 5, 2, 3, 5, 4, 4, 1, 4, 5, 6, 5, 5, 6, 1, 1, 6, 1, 0, 4, 0, 7, 0, 8, 7, 7, 1, 0, 0, 8, 8, 0, 6, 9, 3, 2, 2, 1, 3, 9, 7, 3, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The offset is 1 because the true offset would be 6.0312260626165015 * 10^19727, which is too large to be represented properly in the OEIS. 2^0 = 1, 2^1 = 2, 2^2 = 4, 2^2^2 = 2^^3 = (2^2)^2 = 16, 2^2^2^2 = 2^^4 = (((2^2)^2)^2)^2 = 65536, 2^(2^(2^(2^2))) = 2^^5 = (((((((((((((((2^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2)^2 = 2003529930406846464979072351560255750447825475569751419265016973710894059556311453089506130880933348...(19529 digits)...9087575630505718260979581044520267611188489786293085833548068862693010305614986891826277507437428736. LINKS Robert P. Munafo, Sequence A094358, 2^^N = 1 mod N. Robert P. Munafo, Hyper4 Iterated Exponential Function. FORMULA Equals 2^2^2^2^2^2 = 2^^6. EXAMPLE 2120038728808211984885164691662274630835654230675372483625951752354414565561161040708771008806932213...(10^(6.0312260626165015 * 10^19727))...9087575630505718260979581044520267611188489786293085833548068862693010305614986891826277507437428736. The above example line shows the first one hundred decimal digits and the last one hundred digits with the number of unrepresented digits in parentheses. MATHEMATICA nbrdgt = 105; f[base_, exp_] := RealDigits[ 10^FractionalPart[ N[ exp*Log10[ base], nbrdgt + Floor[ Log10[ exp]] + 2]], 10, nbrdgt][[1]]; f[2, 2^2^2^2^2] CROSSREFS Cf. A014221, A085667, A202955, A054382, A014221, A241292, A241293, A241294, A241295, A241296, A241297, A241298, A241299, A243913. Sequence in context: A298963 A180760 A233270 * A317741 A317902 A317871 Adjacent sequences:  A241288 A241289 A241290 * A241292 A241293 A241294 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 October 18 00:21 EDT 2019. Contains 328135 sequences. (Running on oeis4.)