%I #6 May 11 2023 15:06:35
%S 15,1299,67725,3409361,177194147,9181257593,475203378037,
%T 24603676419865,1273862365412567,65953469881024617,
%U 3414709863495247187,176795083880911066285,9153485056416819219765,473917527399880366302693
%N Number of n X 4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.
%C Column 4 of A232149.
%H R. H. Hardin, <a href="/A232147/b232147.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 35*a(n-1) +649*a(n-2) +10479*a(n-3) +50649*a(n-4) -148850*a(n-5) -4594482*a(n-6) -29446017*a(n-7) -109126913*a(n-8) -189857827*a(n-9) +786606763*a(n-10) +4637371935*a(n-11) +5864860064*a(n-12) -12212688755*a(n-13) -42763674878*a(n-14) -28294485410*a(n-15) +57477014048*a(n-16) +126547355711*a(n-17) +64552653143*a(n-18) -60155915760*a(n-19) -96981273076*a(n-20) -64212382080*a(n-21) -123120194790*a(n-22) -55873185285*a(n-23) -22972924737*a(n-24) +79085877984*a(n-25) +44270889165*a(n-26) +95126815696*a(n-27) +10764163372*a(n-28) +18110185584*a(n-29) -9929666880*a(n-30) -6320643840*a(n-31) +1858775040*a(n-32).
%e Some solutions for n=3
%e ..0..2..2..2....2..2..0..1....2..1..2..2....0..2..1..1....0..1..2..0
%e ..0..1..0..1....0..1..2..1....0..1..2..1....1..1..2..1....2..1..1..0
%e ..1..2..2..2....0..1..2..1....2..2..0..1....2..2..1..1....0..2..2..0
%Y Cf. A232149.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2013