A241297 Decimal expansion of 8^(8^(8^8)) = 8^^4.

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

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.

Decimal expansion of 2^(3*2^50331648). - Jianing Song, Dec 26 2022

Links

Table of n, a(n) for n=1..105.

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]

Crossrefs

Cf. A085667, A202955, A054382, A014221, A241291, A241292, A241293, A241294, A241295, A241296, A241298, A241299, A243913.

Sequence in context: A353773 A200228 A309710 * A021611 A011425 A011486

Adjacent sequences: A241294 A241295 A241296 * A241298 A241299 A241300

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