%I #17 Mar 09 2024 11:03:43
%S 1,2,8,62,924,26394,1442764,150786848,30114993376,11489639088218,
%T 8372083277093216,11649087077771471438,30947648445392475219812,
%U 156963868041535457457609234,1519762800266538697863301357568
%N Number of n X n nonnegative integer arrays with each row and column increasing from zero by 0 or 1.
%H R. H. Hardin, <a href="/A202751/b202751.txt">Table of n, a(n) for n = 1..18</a>
%H Dylan Heuer, <a href="https://arxiv.org/abs/2403.02242">Partial Alternating Sign Matrix Bijections and Dynamics</a>, arXiv:2403.02242 [math.CO], 2024. See p. 6.
%H Dylan Heuer and Jessica Striker, <a href="https://arxiv.org/abs/2012.09901">Partial permutation and alternating sign matrix polytopes</a>, arXiv:2012.09901 [math.CO], 2020.
%e Some solutions for n=5:
%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 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0
%e 0 0 0 1 1 0 0 1 1 2 0 0 1 1 1 0 0 0 1 1
%e 0 1 1 1 1 0 0 1 2 3 0 1 1 2 2 0 0 1 2 2
%e 0 1 2 2 2 0 1 2 3 4 0 1 2 2 3 0 1 1 2 3
%Y Diagonal of A202756.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 23 2011