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Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
1

%I #5 Aug 11 2014 22:45:54

%S 0,820,117372,14875702,1986882996,265749521034,35493529463278,

%T 4740947736896364,633274321865930072,84589617891954381282,

%U 11299056033900192621348,1509271228479641269394190

%N Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

%C Column 4 of A230787

%H R. H. Hardin, <a href="/A230784/b230784.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230784/a230784.txt">Empirical recurrence of order 67</a>

%F Empirical recurrence of order 67 (see link above)

%e Some solutions for n=3

%e ..0..0..3..2....0..1..2..3....0..1..3..2....0..2..1..0....0..1..3..0

%e ..0..1..2..0....1..2..2..0....2..0..3..2....1..3..0..3....1..2..2..1

%e ..3..3..0..1....3..0..0..1....3..2..1..2....1..2..2..1....0..1..0..3

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 30 2013