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Number of nX5 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing
1

%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