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 A241297 The decimal expansion of 8^(8^(8^8)) = 8^^4. 10
 6, 4, 7, 4, 0, 3, 2, 9, 6, 4, 6, 6, 9, 7, 0, 6, 7, 9, 9, 7, 3, 8, 6, 6, 2, 5, 1, 7, 9, 3, 9, 0, 2, 7, 4, 9, 3, 5, 5, 2, 4, 6, 5, 7, 8, 1, 5, 5, 6, 6, 0, 5, 4, 7, 1, 6, 8, 1, 8, 4, 5, 3, 5, 6, 3, 8, 7, 4, 9, 0, 9, 6, 9, 9, 4, 7, 6, 4, 5, 1, 3, 0, 3, 8, 6, 9, 6, 9, 9, 3, 2, 8, 2, 3, 7, 1, 4, 0, 2, 1, 4, 4, 3, 0, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The offset is 1 because the true offset would be 5.431653469… × 10^15151335, which is too large to be represented properly in the OEIS. LINKS Robert P. Munafo, Hyper4 Iterated Exponential Function.. FORMULA = 8^(8^(8^8)) = ((((( … 16777205 … (((((8^8)^8)^8)^8)^8) … 16777205 … ^8)^8)^8)^8)^8)^8. EXAMPLE =6474032964669706799738662517939027493552465781556605471681845356387490969947645130386969932823714021…(5.431653456330093… × 10^15151335)…6641744766927456476257727570637041060682921214560194830819153337200429887920249826536946437619449856. The above example 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[8, 8^8^8, 10^100]. MATHEMATICA nbrdgt = 105; f[base_, exp_] := RealDigits[ 10^FractionalPart[ N[ exp*Log10[ base], nbrdgt + Floor[ Log10[ exp]] + 2]], 10, nbrdgt][[1]]; f[ 8, 8^8^8] (* or *) p = 8; 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, A241294, A241295, A241296, A241298, A241299, A243913. Sequence in context: A141796 A105160 A200228 * A021611 A011425 A011486 Adjacent sequences:  A241294 A241295 A241296 * A241298 A241299 A241300 KEYWORD nonn,cons AUTHOR Robert Munafo and Robert G. Wilson v, Apr 18 2014 STATUS approved

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Last modified February 19 07:51 EST 2019. Contains 320309 sequences. (Running on oeis4.)