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%I #4 Dec 31 2014 09:54:27
%S 17560,37828,108950,403698,1739014,7437150,27085902,115826070,
%T 489226254,1807771102,7774449228,32691341010,120990997286,
%U 520891540644,2184829830574,8087677107470,34850307980588,145865794236954
%N Number of (n+1)X(4+1) 0..2 arrays with every 2X2 subblock diagonal maximum plus antidiagonal minimum unequal to its neighbors horizontally, vertically and ne+sw antidiagonally
%C Column 4 of A253407
%H R. H. Hardin, <a href="/A253403/b253403.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 160*a(n-3) -7952*a(n-6) +98358*a(n-9) +1917280*a(n-12) -53187384*a(n-15) -68774113*a(n-18) +7983927856*a(n-21) -4682894632*a(n-24) -687025828328*a(n-27) -4013350970720*a(n-30) -4983960145280*a(n-33) +22542564452080*a(n-36) +57373712662592*a(n-39) -74581831759040*a(n-42) -225211762413056*a(n-45) +204280702855424*a(n-48) +329790587612160*a(n-51) -337058300150784*a(n-54) -25034074472448*a(n-57) -449521975296*a(n-60) for n>69
%e Some solutions for n=3
%e ..2..1..2..0..1....2..2..0..1..0....0..1..2..2..2....0..0..0..2..2
%e ..2..0..0..1..2....2..1..0..0..1....0..0..0..2..1....0..1..0..2..0
%e ..0..1..0..1..0....2..2..1..2..2....1..2..0..1..1....1..1..1..2..1
%e ..0..1..2..2..0....2..2..0..0..1....2..1..0..0..0....2..2..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 31 2014
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