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Number of n X n nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.
0

%I #6 Apr 20 2020 19:48:23

%S 1,2,18,1094,637358,4617638834,517992936833258,1088597786720842334698,

%T 50735031335891092927048172910,60946941227979732761779089927221771422

%N Number of n X n nonnegative integer arrays with new values introduced in each row and column in sequential order starting with zero.

%C Diagonal of A268079.

%e Some solutions for n=4

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..1..1....0..1..0..0....0..1..0..0....0..1..0..0

%e ..0..0..0..0....0..1..0..1....0..0..1..1....0..0..0..1....0..1..0..1

%e ..0..1..0..0....0..1..1..2....0..1..0..0....0..0..0..0....0..1..1..0

%Y Cf. A268079.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 25 2016