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Number of n X n 0..n-1 arrays with no column j greater than or equal to than column j-1 in all rows.
1

%I #8 Mar 27 2023 15:42:24

%S 1,7,9019,2509306671,212180664326328751,8389667096561737605103329223,

%T 227328735342370296661661894900118524516359,

%U 5846438367263951495694598571033398108516477233229168235359

%N Number of n X n 0..n-1 arrays with no column j greater than or equal to than column j-1 in all rows.

%C Diagonal of A212943.

%H R. H. Hardin, <a href="/A212937/b212937.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=4

%e ..1..3..0..1....1..3..2..1....2..1..1..1....3..3..2..1....0..0..0..3

%e ..0..0..1..0....1..1..0..3....0..2..1..3....3..2..2..2....0..1..1..2

%e ..0..1..1..3....2..3..3..0....3..1..2..0....2..3..2..2....0..2..2..1

%e ..3..0..3..1....1..0..3..0....2..2..1..2....3..1..1..2....2..1..0..2

%Y Cf. A212943.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 31 2012