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Number of (5+1)X(n+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order
1

%I #5 Aug 11 2014 22:46:11

%S 96,2778,209839,12844591,821135900,52019283568,3301711870920,

%T 209479341898544,13291665794245067,843354268309287289,

%U 53510901660533324714,3395268764228553206688,215429967962178289895220

%N Number of (5+1)X(n+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order

%C Row 5 of A239155

%H R. H. Hardin, <a href="/A239158/b239158.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A239158/a239158.txt">Empirical recurrence of order 57</a>

%F Empirical recurrence of order 57 (see link above)

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 11 2014