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%I #4 Nov 22 2013 08:26:17
%S 15,1915,107047,6363511,382995685,22952606015,1376103637041,
%T 82507009197797,4946765617435461,296587635447682217,
%U 17782170643106187059,1066145468469096971225,63921677621500141207283
%N Number of nX4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally
%C Column 4 of A232309
%H R. H. Hardin, <a href="/A232305/b232305.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 48*a(n-1) +558*a(n-2) +9275*a(n-3) +9687*a(n-4) +343512*a(n-5) -2285607*a(n-6) +14866055*a(n-7) -181884028*a(n-8) +995697191*a(n-9) -5197173220*a(n-10) +15530478379*a(n-11) -9636101562*a(n-12) -67093411703*a(n-13) +267936483072*a(n-14) -191200540352*a(n-15) -6112388650712*a(n-16) +22237256495440*a(n-17) +63292605427616*a(n-18) -348622165002352*a(n-19) +11398003325440*a(n-20) +1859079636021248*a(n-21) -1555747925062400*a(n-22) -84708377445376*a(n-23) -6207842614584320*a(n-24) +600629890977792*a(n-25) +21168065041268736*a(n-26) -8430208775356416*a(n-27) -26470468634542080*a(n-28) +17291523301310464*a(n-29) +17603417383895040*a(n-30) -12696610521743360*a(n-31) -4661929301770240*a(n-32) +4503599627370496*a(n-33)
%e Some solutions for n=3
%e ..1..1..0..0....2..1..2..0....1..2..1..1....2..1..1..2....2..1..2..0
%e ..2..1..2..1....0..2..2..1....2..0..2..1....2..1..2..1....2..0..1..1
%e ..0..0..1..0....0..1..0..0....2..1..1..0....0..0..0..0....1..2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 22 2013
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