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n^2 raised to power n^2.
2

%I #35 Sep 08 2022 08:44:36

%S 1,256,387420489,18446744073709551616,

%T 88817841970012523233890533447265625,

%U 106387358923716524807713475752456393740167855629859291136

%N n^2 raised to power n^2.

%C Since (x^n)^m = x^(nm) then (n^2)^(n^2) = n^(2*(n^2)). - _Jonathan Vos Post_, Mar 08 2010

%H Vincenzo Librandi, <a href="/A008972/b008972.txt">Table of n, a(n) for n = 1..19</a>

%F a(n) = A000312(A000290(n)). - _Reinhard Zumkeller_, Mar 20 2009

%F a(n) = n^(2*(n^2)). - _Jonathan Vos Post_, Mar 08 2010

%F a(n) = [x^(n^2)] 1/(1 - n^2*x). - _Ilya Gutkovskiy_, Oct 10 2017

%F Sum_{n>=1} 1/a(n) = A134878. - _Amiram Eldar_, Nov 13 2020

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

%t Table[(n^2)^(n^2), {n, 1, 10}] (* _Vincenzo Librandi_, Jun 11 2013 *)

%o (PARI) a(n)=n^(2*n^2) \\ _Charles R Greathouse IV_, Jan 19 2012

%o (Magma) [(n^2)^(n^2): n in [1..10]]; // _Vincenzo Librandi_, Jun 11 2013

%Y Cf. A000290, A000312, A134878.

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_