A220078 a(n) = 5^(n!).

5, 5, 25, 15625, 59604644775390625, 752316384526264005099991383822237233803945956334136013765601092018187046051025390625

Offset: 0

Author

Vincenzo Librandi, Dec 16 2012

Keywords

• nonn

Comments

The next term (a(6)) has 504 digits. - Harvey P. Dale, Apr 01 2013

Links

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

Crossrefs

Cf. A000351, A000142, A050923, A100731.

Programs

Magma

[5^(Factorial(n)): n in [0..7]];

Mathematica

lst={}; Do[AppendTo[lst, 5^n!], {n, 0, 9}]; lst
5^Range[6]! (* Harvey P. Dale, Apr 01 2013 *)

Maxima

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

Formula

a(n) = a(n-1)^n, a(0) = 5.

a(n) = A000351(A000142(n)).

Extensions

One more term (a(5)) from Harvey P. Dale, Apr 01 2013