%I #4 Mar 29 2013 20:27:25

%S 7,49,241,928,3115,9919,31899,106838,372791,1333858,4817747,17407255,

%T 62752228,225884852,813221202,2931336019,10582353096,38251831384,

%U 138386374911,500895790541,1813490035610,6566735544675,23781203864410

%N Number of nX6 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

%C Column 6 of A223949

%H R. H. Hardin, <a href="/A223947/b223947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) -14*a(n-2) +3*a(n-3) +17*a(n-4) -16*a(n-5) +13*a(n-6) -32*a(n-7) +4*a(n-8) -442*a(n-9) -12*a(n-10) +148*a(n-11) +2028*a(n-12) +340*a(n-13) +438*a(n-14) +2729*a(n-15) +671*a(n-16) +154*a(n-17) -4426*a(n-18) -1581*a(n-19) -772*a(n-20) +98*a(n-21) -8*a(n-22) +88*a(n-23) +16*a(n-24)

%e Some solutions for n=3

%e ..1..1..1..1..1..1....0..0..0..1..1..1....0..0..1..1..1..1....0..0..0..0..0..1

%e ..0..0..0..1..1..1....0..1..1..1..1..1....1..1..1..1..1..1....0..0..1..1..1..1

%e ..0..0..0..0..0..1....0..0..0..1..1..1....1..1..1..1..1..1....0..0..0..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 29 2013