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A241295 The decimal expansion of 6^(6^(6^6)) = 6^^4. 10
4, 4, 4, 6, 2, 3, 5, 1, 9, 0, 2, 3, 6, 9, 3, 4, 6, 9, 7, 5, 2, 5, 6, 5, 8, 2, 2, 2, 8, 2, 9, 2, 0, 0, 1, 5, 4, 0, 5, 7, 9, 4, 1, 4, 5, 4, 2, 4, 6, 3, 9, 6, 6, 3, 4, 2, 7, 8, 2, 6, 1, 5, 6, 9, 4, 4, 6, 3, 1, 4, 6, 6, 9, 7, 2, 3, 2, 2, 9, 7, 7, 5, 8, 4, 9, 2, 9, 4, 3, 0, 5, 0, 4, 8, 2, 1, 9, 1, 9, 3, 2, 6, 3, 7, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The offset is 1 because the true offset would be 2.069197376… × 10^36305, 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

6^(6^(6^6)) = ((((( … 46645 … (((((6^6)^6)^6)^6)^6) … 46645 … ^6)^6)^6)^6)^6)^6.

EXAMPLE

4446235190236934697525658222829200154057941454246396634278261569446314669723229775849294305048219193…(2.069197376… × 10^36305)…1753131067593004473155552781300975310520790674421755277191077815819279193580406457883859420138438656.

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[6, 6^6^6, 10^100].

MATHEMATICA

nbrdgt = 105; f[base_, exp_] := RealDigits[ 10^FractionalPart[ N[ exp*Log10[ base], nbrdgt + Floor[ Log10[ exp]] + 2]], 10, nbrdgt][[1]]; f[ 3, 3^3^3] (* or *)

p = 3; 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, A241296, A241297, A241298, A241299, A243913.

Sequence in context: A131957 A127932 A006075 * A074904 A010304 A164821

Adjacent sequences:  A241292 A241293 A241294 * A241296 A241297 A241298

KEYWORD

nonn,cons

AUTHOR

Robert Munafo and Robert G. Wilson v, Apr 18 2014

STATUS

approved

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Last modified February 21 15:34 EST 2019. Contains 320374 sequences. (Running on oeis4.)