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%I #4 Nov 19 2013 04:30:21
%S 109,1667,26029,411015,6462505,101738935,1601238913,25202545399,
%T 396671747797,6243351806483,98266278319693,1546646866893407,
%U 24343209288486561,383146178592136123,6030470035956019957
%N Number of (n+1)X(2+1) 0..2 arrays with every element both >= and <= some horizontal or vertical neighbor
%C Column 2 of A232124
%H R. H. Hardin, <a href="/A232118/b232118.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) +18*a(n-2) +134*a(n-3) +232*a(n-4) +22*a(n-5) -4664*a(n-6) -1670*a(n-7) -31429*a(n-8) +20772*a(n-9) +42003*a(n-10) +145199*a(n-11) +179692*a(n-12) -283953*a(n-13) -254162*a(n-14) +25191*a(n-15) -329068*a(n-16) -114068*a(n-17) +322177*a(n-18) +10967*a(n-19) -35917*a(n-20) +142213*a(n-21) +4789*a(n-22) -24226*a(n-23) +34292*a(n-24) +5017*a(n-25) -7373*a(n-26) -5490*a(n-27) -5910*a(n-28) -1491*a(n-29) -1034*a(n-30) +239*a(n-31) -33*a(n-32) +82*a(n-33) +4*a(n-35)
%e Some solutions for n=3
%e ..0..2..2....1..1..2....2..0..0....0..1..1....2..2..2....1..0..0....1..1..2
%e ..0..1..2....1..2..2....2..2..2....0..0..2....0..0..2....2..2..0....0..0..2
%e ..2..0..0....0..0..2....2..1..0....0..2..2....2..1..0....0..0..2....0..1..1
%e ..2..1..1....0..1..1....1..0..0....2..2..2....2..0..0....0..2..2....0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2013
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