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Number of n X n (0,1) matrices with distinct rows.
5

%I #10 Jan 27 2020 16:01:37

%S 1,2,12,336,43680,24165120,53981544960,476410007808000,

%T 16517640193528320000,2252801478912508197273600,

%U 1212983979979000042023881932800,2587892965783744956308448364029542400,21943955209199862746410706867184116563968000

%N Number of n X n (0,1) matrices with distinct rows.

%H Andrew Howroyd, <a href="/A088229/b088229.txt">Table of n, a(n) for n = 0..50</a>

%F a(n) = n! * binomial(2^n, n) = n! * A014070(n).

%F a(n) ~ 2^(n^2). - _Vaclav Kotesovec_, Jul 02 2016

%t Table[(2^n)!/(2^n - n)!, {n, 1, 15}] (* _Vaclav Kotesovec_, Jul 02 2016 *)

%Y Cf. A014070.

%K nonn

%O 0,2

%A Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 03 2003

%E More terms from _Ray Chandler_, Nov 06 2003

%E a(0)=1 prepended and terms a(12) and beyond from _Andrew Howroyd_, Jan 27 2020