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Number of (n+3)X(2+3) 0..3 arrays x(i,j) with each element 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 1024,32912,2096704,84019184,3164737536,128788339184,5240912804416,

%T 210666866507312,8485631595430144,342396531530004720,

%U 13806626781819210304,556634631310631742384,22444891375792627713024

%N Number of (n+3)X(2+3) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

%C Column 2 of A230796

%H R. H. Hardin, <a href="/A230790/b230790.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A230790/a230790.txt">Empirical recurrence of order 64</a>

%F Empirical recurrence of order 64 (see link above)

%e Some solutions for n=1

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 30 2013