This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A241292 The decimal expansion of 3^(3^(3^3)) = 3^^4. 10
 1, 2, 5, 8, 0, 1, 4, 2, 9, 0, 6, 2, 7, 4, 9, 1, 3, 1, 7, 8, 6, 0, 3, 9, 0, 6, 9, 8, 2, 0, 3, 2, 8, 1, 2, 1, 5, 5, 1, 8, 0, 4, 6, 7, 1, 4, 3, 1, 6, 5, 9, 6, 0, 1, 5, 1, 8, 9, 6, 7, 4, 9, 4, 4, 3, 8, 1, 2, 1, 1, 0, 1, 1, 3, 0, 0, 0, 1, 7, 7, 8, 5, 3, 1, 0, 8, 0, 3, 9, 0, 3, 2, 9, 6, 2, 4, 0, 1, 1, 5, 6, 9, 5, 8, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 3638334640025,2 LINKS Robert P. Munafo, Hyper4 Iterated Exponential Function.. FORMULA = 3^(3^(3^3)) = ((((( … 16 … (((((3^3)^3)^3)^3)^3) … 16 … ^3)^3)^3)^3)^3)^3. EXAMPLE =1258014290627491317860390698203281215518046714316596015189674944381211011300017785310803903296240115…(3638334639825)…5344828628021555146929939999502212249640012905650177570718344711077047886315075206738945776100739387. 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[3, 3^3^3, 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)] PROG (PARI) 3.^3^3^3 \\ Charles R Greathouse IV, Apr 25 2016 CROSSREFS Cf. A014222, A085667, A202955, A054382, A014221, A241291, A241293, A241294, A241295, A241296, A241297, A241298, A241299. Sequence in context: A252283 A007571 A062621 * A248510 A322416 A020772 Adjacent sequences:  A241289 A241290 A241291 * A241293 A241294 A241295 KEYWORD nonn,cons AUTHOR Robert Munafo and Robert G. Wilson v, Apr 18 2014 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 22 20:30 EST 2019. Contains 320404 sequences. (Running on oeis4.)