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

3, 3, 9, 729, 282429536481, 1797010299914431210413179829509605039731475627537851106401

Offset: 0

Author

Parthasarathy Nambi, Jan 12 2005

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000142, A000244, A050923.

Programs

Magma

[3^Factorial(n): n in [0..7]]; // Vincenzo Librandi, Dec 16 2012

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 *)

Maxima

makelist(3^(n!),n,0,5); /* Martin Ettl, Dec 27 2012 */

Formula

From Vincenzo Librandi, Dec 16 2012: (Start)

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

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