A210508 a(n) = floor((Pi^Pi)^Pi)^...^Pi).

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

Links

Table of n, a(n) for n=0..5.

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

Cf. A000796, A073236, A096232.

Sequence in context: A080807 A006268 A264842 * A073236 A372478 A002563

Adjacent sequences: A210505 A210506 A210507 * A210509 A210510 A210511

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