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%I #7 Dec 30 2023 22:46:19
%S 1,6,27,114,602,2659,11843,54151,248884,1149368,5314692,24582826,
%T 113768977,526745513,2439519188,11300197751,52349414827,242529162603,
%U 1123654672681,5206100676576,24121216202540,111760982035902
%N Number of n X 5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,2,4,0 for x=0,1,2,3,4.
%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 4's, every 4 is next to 4 0's.
%C Column 5 of A196922.
%H R. H. Hardin, <a href="/A196919/b196919.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -5*a(n-2) -3*a(n-3) -14*a(n-4) +21*a(n-5) -55*a(n-6) -220*a(n-7) -191*a(n-8) -132*a(n-9) +188*a(n-10) +12*a(n-11) +165*a(n-12) +510*a(n-13) +814*a(n-14) +641*a(n-15) +80*a(n-16) -21*a(n-17) -118*a(n-18) +47*a(n-19) -4*a(n-20) +15*a(n-21) -7*a(n-22) for n>23.
%e Some solutions for n=4
%e ..0..0..0..0..0....0..2..2..2..2....0..0..0..2..2....0..0..0..0..0
%e ..0..4..0..2..2....0..2..0..0..2....0..0..0..2..2....0..4..0..4..0
%e ..0..0..0..2..2....0..2..0..2..2....0..2..2..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..2..2..2..0....0..2..2..0..0....0..0..0..0..0
%Y Cf. A196922.
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 07 2011
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