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%I #4 Nov 03 2013 07:18:49
%S 0,10,410,2080,20050,310804,4110640,50618998,638796662,8156441186,
%T 103727443616,1316635701154,16723288145932,212476379058152,
%U 2699313938169806,34290564462889370,435615577448735910
%N Number of 4Xn 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero
%C Row 4 of A231049
%H R. H. Hardin, <a href="/A231052/b231052.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) +26*a(n-2) +92*a(n-3) +616*a(n-4) -4329*a(n-5) -16937*a(n-6) +9747*a(n-7) +74627*a(n-8) +138730*a(n-9) +199463*a(n-10) -165251*a(n-11) -709116*a(n-12) -1160893*a(n-13) -2172906*a(n-14) -2451394*a(n-15) -1288052*a(n-16) +2653888*a(n-17) +4205208*a(n-18) +4581464*a(n-19) +2645760*a(n-20) -2865936*a(n-21) -4590592*a(n-22) -1547392*a(n-23) +1079872*a(n-24) +722560*a(n-25) +97536*a(n-26) +29696*a(n-27) +37888*a(n-28) +6144*a(n-29) -4096*a(n-30) -16384*a(n-31) for n>32
%e Some solutions for n=4
%e ..0..3..2..1....0..1..2..3....0..3..2..1....0..3..0..3....0..1..0..3
%e ..0..1..0..1....0..3..0..3....0..1..0..3....0..1..2..1....2..3..2..3
%e ..0..1..0..3....1..2..1..2....2..1..0..3....0..3..2..3....2..1..0..3
%e ..0..3..2..1....1..0..3..2....0..3..2..1....0..1..0..1....2..3..2..3
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 03 2013
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