%I #5 Mar 31 2012 12:37:03

%S 335,4273,42214,422426,4122638,40446826,398104735,3932835872,

%T 38891469208,384807201698,3808018050290,37687209766746,

%U 372993505199870,3691609000397802,36536979984636766,361618824026138898

%N Number of (n+1)X5 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing

%C Column 4 of A204800

%H R. H. Hardin, <a href="/A204796/b204796.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 23*a(n-1) -169*a(n-2) +215*a(n-3) +2942*a(n-4) -13270*a(n-5) +5608*a(n-6) +79132*a(n-7) -156472*a(n-8) -56040*a(n-9) +403184*a(n-10) -196800*a(n-11) -346880*a(n-12) +287744*a(n-13) +89088*a(n-14) -98304*a(n-15) for n>23

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2012