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A008972
n^2 raised to power n^2.
3
1, 256, 387420489, 18446744073709551616, 88817841970012523233890533447265625, 106387358923716524807713475752456393740167855629859291136
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OFFSET
1,2
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
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
MAPLE
[ seq((n^2)^(n^2), n=1..8) ];
MATHEMATICA
Table[(n^2)^(n^2), {n, 1, 10}] (*
Vincenzo Librandi
, Jun 11 2013 *)
PROG
(PARI) a(n)=n^(2*n^2) \\
Charles R Greathouse IV
, Jan 19 2012
(Magma) [(n^2)^(n^2): n in [1..10]]; //
Vincenzo Librandi
, Jun 11 2013
CROSSREFS
Cf.
A000290
,
A000312
,
A134878
.
Sequence in context:
A013879
A073600
A070327
*
A017300
A017420
A017552
Adjacent sequences:
A008969
A008970
A008971
*
A008973
A008974
A008975
KEYWORD
nonn
,
easy
AUTHOR
N. J. A. Sloane
STATUS
approved