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%I #4 Nov 20 2013 18:52:02
%S 109,2129,39651,745157,14015499,263553379,4955798535,93188421223,
%T 1752307388503,32950235075335,619593351859825,11650779532851601,
%U 219080245401618255,4119565886810925283,77463958767778856465
%N Number of (n+1)X(2+1) 0..2 arrays with every element both >= and <= some horizontal, vertical or antidiagonal neighbor
%C Column 2 of A232204
%H R. H. Hardin, <a href="/A232198/b232198.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 22*a(n-1) -75*a(n-2) +344*a(n-3) -1273*a(n-4) +1509*a(n-5) -2550*a(n-6) +39*a(n-7) +29574*a(n-8) -2723*a(n-9) -82741*a(n-10) +9633*a(n-11) -172586*a(n-12) -214133*a(n-13) +806356*a(n-14) +160192*a(n-15) -604578*a(n-16) +485994*a(n-17) -509110*a(n-18) -512043*a(n-19) +1074037*a(n-20) -171816*a(n-21) -641277*a(n-22) +418326*a(n-23) -77850*a(n-24) +15796*a(n-25) +9294*a(n-26) -46219*a(n-27) +38217*a(n-28) -11332*a(n-29) -1277*a(n-30) +4309*a(n-31) -2609*a(n-32) +695*a(n-33) -134*a(n-34) -29*a(n-35) +21*a(n-36) -4*a(n-37) +2*a(n-38) for n>40
%e Some solutions for n=3
%e ..1..1..0....0..2..2....2..2..1....0..0..2....0..2..1....2..2..2....0..0..0
%e ..1..2..0....0..1..2....2..2..0....1..0..2....0..2..0....0..2..1....1..1..2
%e ..2..2..1....2..1..0....0..0..2....1..1..2....0..2..0....0..0..0....1..2..0
%e ..1..1..1....2..0..0....2..2..2....1..1..1....1..1..1....2..2..1....1..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 20 2013
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