A100731 a(n) = 3^(n!).

3, 3, 9, 729, 282429536481, 1797010299914431210413179829509605039731475627537851106401

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..6

Formula

From Vincenzo Librandi, Dec 16 2012: (Start)

a(n) = a(n-1)^n, a(0)=3.

a(n) = A000244(A000142(n)). (End)

Example

If n=2, 3^(2!) = 9.
If n=3, 3^(3!) = 729.
If n=4, 3^(4!) = 282429536481.

Mathematica

a=3; lst={}; Do[a=a^n; AppendTo[lst, a], {n, 1, 7}]; lst (* Vladimir Joseph Stephan Orlovsky, May 26 2009 *)
Table[3^n!, {n, 0, 9}] (* Vincenzo Librandi, Dec 16 2012 *)

Prog

(Magma) [3^Factorial(n): n in [0..7]]; // Vincenzo Librandi, Dec 16 2012
(Maxima) makelist(3^(n!), n, 0, 5); /* Martin Ettl, Dec 27 2012 */

Crossrefs

Cf. A000142, A000244, A050923.

Sequence in context: A122961 A165421 A227432 * A383022 A072004 A095271

Adjacent sequences: A100728 A100729 A100730 * A100732 A100733 A100734

Keyword

nonn

Author

Parthasarathy Nambi, Jan 12 2005

Status

approved