%I #4 Mar 27 2013 04:55:31
%S 16,101,317,782,1748,3699,7564,14980,28778,53619,96979,170525,292045,
%T 488120,797778,1277432,2007477,3101006,4715203,7066083,10447376,
%U 15254495,22014688,31424652,44397084,62117861,86115779,118347041,161296967
%N Number of nX5 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
%C Column 5 of A223770
%H R. H. Hardin, <a href="/A223767/b223767.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (23/120960)*n^8 - (43/40320)*n^7 + (11293/172800)*n^6 - (1721/2304)*n^5 + (1557823/181440)*n^4 - (3058823/60480)*n^3 + (99347/350)*n^2 - (196177/210)*n + 1664 for n>6
%e Some solutions for n=3
%e ..0..1..0..0..0....0..0..1..1..0....0..0..0..0..0....0..0..0..0..0
%e ..0..1..1..0..0....0..0..1..1..1....0..1..1..0..0....0..0..0..0..1
%e ..0..1..1..1..1....0..0..0..1..1....0..0..1..1..0....0..0..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 27 2013