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%I #4 Mar 31 2013 14:46:32
%S 128,2916,9681,18408,32910,60214,114537,222841,437497,857104,1662992,
%T 3177801,5958392,10937977,19639113,34486391,59258268,99731248,
%U 164588012,266685480,424810970,666096886,1029319580,1569379741,2363354232
%N Number of 7Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing
%C Row 7 of A224158
%H R. H. Hardin, <a href="/A224163/b224163.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/87178291200)*n^14 - (1/1779148800)*n^13 + (1/35481600)*n^12 - (599/958003200)*n^11 + (2503/87091200)*n^10 - (15289/29030400)*n^9 + (14386957/609638400)*n^8 - (43214887/87091200)*n^7 + (53001143/7257600)*n^6 - (371883179/5443200)*n^5 + (31780522507/59875200)*n^4 - (22988847851/6652800)*n^3 + (639379939651/30270240)*n^2 - (888679471/10010)*n + 189847 for n>10
%e Some solutions for n=3
%e ..0..0..0....1..0..0....0..1..0....0..0..0....0..0..1....0..0..0....1..1..0
%e ..0..0..0....1..0..0....1..0..0....0..1..0....1..1..1....0..0..1....1..0..0
%e ..0..0..0....0..0..0....0..0..0....1..0..0....1..1..1....1..1..0....1..1..0
%e ..1..0..0....0..0..0....1..0..0....1..0..0....1..1..0....1..0..0....1..0..0
%e ..0..0..0....0..0..1....1..0..0....0..0..0....1..0..0....0..1..0....0..1..0
%e ..1..0..0....1..1..0....1..0..0....1..0..0....1..0..0....1..1..0....1..0..0
%e ..0..0..0....1..1..1....1..1..0....0..0..0....1..1..0....1..0..0....1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 31 2013