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 A241293 Decimal expansion of 4^(4^(4^4)) = 4^^4. 11
 2, 3, 6, 1, 0, 2, 2, 6, 7, 1, 4, 5, 9, 7, 3, 1, 3, 2, 0, 6, 8, 7, 7, 0, 2, 7, 4, 9, 7, 7, 8, 1, 7, 9, 4, 3, 0, 9, 4, 6, 1, 2, 7, 2, 9, 1, 4, 7, 7, 5, 1, 5, 4, 4, 6, 7, 1, 9, 2, 5, 6, 9, 4, 6, 2, 1, 2, 7, 1, 1, 8, 5, 3, 6, 6, 6, 4, 7, 5, 5, 2, 4, 9, 4, 5, 7, 6, 9, 3, 5, 0, 1, 0, 1, 9, 4, 1, 9, 9, 7, 7, 1, 6, 1, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The offset is 1 because the true offset would be 8.072304726...*10^153, which is too large to be represented properly in the OEIS. This is the decimal expansion of 2^2^513. - Jianing Song, Dec 25 2018 LINKS Robert P. Munafo, Hyper4 Iterated Exponential Function.. FORMULA 4^(4^(4^4)) = ((((( ... 245 ... (((((4^4)^4)^4)^4)^4) ... 245 ... ^4)^4)^4)^4)^4)^4. EXAMPLE 2361022671459731320687702749778179430946127291477515446719256946212711853666475524945769350101941997...(8.072304726...*10^153)...7470426497333490366540651560537534642789067586985427238232605843019607448189676936860456095261392896. 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[4, 4^4^4, 10^100]. MATHEMATICA nbrdgt = 105; f[base_, exp_] := RealDigits[ 10^FractionalPart[ N[ exp*Log10[ base], nbrdgt + Floor[ Log10[ exp]] + 2]], 10, nbrdgt][[1]]; f[ 4, 4^4^4] (* or *) p = 4; f[n_] := Quotient[n^p, 10^(Floor[p * Log10@ n] - (1004 + p^p))]; IntegerDigits@ Quotient[ Nest[ f@ # &, p, p^p], 10^(900 + p^p)] (* Program fixed by Jianing Song, Sep 18 2019 *) CROSSREFS Cf. A114561, A085667, A202955, A054382, A014221, A241291, A241292, A241294, A241295, A241296, A241297, A241298, A241299, A243913. Sequence in context: A082052 A232930 A217100 * A107409 A268603 A226871 Adjacent sequences:  A241290 A241291 A241292 * A241294 A241295 A241296 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 December 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)