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%I #4 Apr 04 2013 10:34:16
%S 729,46656,349280,1351748,4231138,12340932,34697869,94262290,
%T 246254814,616242552,1475123504,3379586703,7423803582,15672970622,
%U 31884279651,62668814332,119312143790,220555944774,396752366132,695942226325
%N Number of 6Xn 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing
%C Row 6 of A224353
%H R. H. Hardin, <a href="/A224357/b224357.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (761/8553600)*n^12 + (1733/3326400)*n^11 + (1459/108864)*n^10 + (4187/40320)*n^9 + (1551227/1814400)*n^8 + (72841/12600)*n^7 + (1802801/19440)*n^6 - (66259339/120960)*n^5 + (9020552353/1360800)*n^4 - (817656577/50400)*n^3 + (5508355001/83160)*n^2 - (57456263/1540)*n - 269256 for n>7
%e Some solutions for n=3
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..2....0..0..2....0..0..1
%e ..2..2..2....1..2..2....0..1..2....0..0..0....0..0..2....1..1..1....0..1..2
%e ..0..1..2....0..1..1....1..1..2....0..0..1....0..2..2....0..1..1....0..2..2
%e ..0..0..1....1..2..2....0..1..1....0..2..2....0..0..2....1..1..1....1..2..2
%e ..0..0..1....2..2..2....1..1..1....0..2..2....0..1..2....1..1..2....0..2..2
%e ..0..0..1....1..2..2....0..2..2....2..2..2....0..0..0....0..1..2....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 04 2013