A008972 n^2 raised to power n^2.

1, 256, 387420489, 18446744073709551616, 88817841970012523233890533447265625, 106387358923716524807713475752456393740167855629859291136

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Since (x^n)^m = x^(nm) then (n^2)^(n^2) = n^(2*(n^2)). - Jonathan Vos Post, Mar 08 2010

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..19

Crossrefs

Cf. A000290, A000312, A134878.

Programs

Magma

[(n^2)^(n^2): n in [1..10]]; // Vincenzo Librandi, Jun 11 2013

Maple

[ seq((n^2)^(n^2), n=1..8) ];

Mathematica

Table[(n^2)^(n^2), {n, 1, 10}] (* Vincenzo Librandi, Jun 11 2013 *)

PARI

a(n)=n^(2*n^2) \\ Charles R Greathouse IV, Jan 19 2012

Formula

a(n) = A000312(A000290(n)). - Reinhard Zumkeller, Mar 20 2009

a(n) = n^(2*(n^2)). - Jonathan Vos Post, Mar 08 2010

a(n) = [x^(n^2)] 1/(1 - n^2*x). - Ilya Gutkovskiy, Oct 10 2017

Sum_{n>=1} 1/a(n) = A134878. - Amiram Eldar, Nov 13 2020