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%I #4 Jan 30 2015 10:29:57
%S 2180,25589,423141,6683795,106821947,1701224592,27127649888,
%T 432529456546,6897932889768,110012117617070,1754633839014404,
%U 27986033446923930,446378530257394224,7119814473798598638,113562892589946520852
%N Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally
%C Column 3 of A254422
%H R. H. Hardin, <a href="/A254417/b254417.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 53*a(n-1) -1052*a(n-2) +8298*a(n-3) +12027*a(n-4) -644699*a(n-5) +3383022*a(n-6) +5821120*a(n-7) -105582868*a(n-8) +183491212*a(n-9) +1149464040*a(n-10) -3940967952*a(n-11) -5526556544*a(n-12) +32505663520*a(n-13) +11662935360*a(n-14) -148192467456*a(n-15) -11627458560*a(n-16) +409352481792*a(n-17) +46624425984*a(n-18) -673695553536*a(n-19) -198304174080*a(n-20) +577600782336*a(n-21) +304474816512*a(n-22) -166164037632*a(n-23) -148487012352*a(n-24) -27518828544*a(n-25) for n>30
%e Some solutions for n=2
%e ..2..2..2..2....2..2..2..0....2..1..2..0....1..1..1..0....1..0..1..1
%e ..1..2..1..1....0..1..2..1....2..2..2..2....2..2..2..2....1..1..1..0
%e ..0..2..1..1....1..1..2..1....0..2..2..0....2..2..1..2....0..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 30 2015
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