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%I #7 Aug 24 2018 08:52:23
%S 32,243,596,1062,1821,3115,5233,8564,13613,21017,31561,46194,66045,
%T 92439,126913,171232,227405,297701,384665,491134,620253,775491,960657,
%U 1179916,1437805,1739249,2089577,2494538,2960317,3493551,4101345,4791288,5571469
%N Number of 5 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.
%C Row 5 of A223949.
%H R. H. Hardin, <a href="/A223952/b223952.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (2/15)*n^5 + (1/6)*n^4 + (23/6)*n^3 + (89/6)*n^2 + (1501/30)*n + 200 for n>3.
%F Conjectures from _Colin Barker_, Aug 24 2018: (Start)
%F G.f.: x*(32 + 51*x - 382*x^2 + 491*x^3 + 9*x^4 - 348*x^5 + 132*x^6 + 68*x^7 - 37*x^8) / (1 - x)^6.
%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>9.
%F (End)
%e Some solutions for n=3:
%e ..0..1..1....1..1..1....0..0..1....0..0..1....0..0..0....0..0..0....0..1..1
%e ..0..1..1....0..1..1....0..0..1....1..1..1....0..1..1....0..1..1....0..0..1
%e ..0..1..1....0..0..0....0..0..0....0..0..1....0..1..1....0..0..0....0..1..1
%e ..1..1..1....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..1..1
%e ..0..0..1....0..0..1....0..0..1....0..0..0....0..1..1....0..0..0....1..1..1
%Y Cf. A223949.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 29 2013
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