login
A210508
a(n) = floor((Pi^Pi)^Pi)^...^Pi).
0
1, 3, 36, 80662, 2598761979625197, 2672496879634073073044276636697073994497970453122
OFFSET
0,2
COMMENTS
a(6) has more than 140 decimal digits and is too big to display. - L. Edson Jeffery, Jan 28 2013
FORMULA
a(n) = floor((Pi^Pi)^Pi)^...^Pi) (Pi appears n times).
a(n) = floor(Pi^(Pi^(n-1))). - Charles R Greathouse IV, Jan 28 2013
EXAMPLE
Pi^Pi = 36.4621596072079, so a(2) = 36.
MAPLE
a:= n-> floor(Pi^(Pi^(n-1))):
seq(a(n), n=0..5); # Alois P. Heinz, Jul 20 2024
MATHEMATICA
Floor[NestList[#^Pi &, Pi, 5]] (* Alonso del Arte, Jan 28 2013 *)
PROG
(PARI) a(n)=Pi^Pi^n--\1 \\ Charles R Greathouse IV, Jan 28 2013
CROSSREFS
KEYWORD
nonn
AUTHOR
Jon Perry, Jan 25 2013
EXTENSIONS
a(4) corrected by L. Edson Jeffery and Alonso del Arte, Jan 28 2013
a(5) added by L. Edson Jeffery, Jan 28 2013
a(0)=1 prepended by Alois P. Heinz, Jul 20 2024
STATUS
approved