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Number of n X n symmetric 0..6 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..6 introduced in lower triangular row major order
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%I #5 Dec 18 2015 18:17:41

%S 0,1,1,6,35,697,19477,1565794,210688406,77029067005

%N Number of n X n symmetric 0..6 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..6 introduced in lower triangular row major order

%e Some solutions for 8X8 containing a 6

%e ..0..0..0..1..1..1..0..0....0..0..1..1..3..3..4..4....0..0..1..1..3..3..5..5

%e ..0..0..0..1..1..1..0..0....0..0..1..1..3..3..4..4....0..0..1..1..3..3..5..5

%e ..0..0..1..1..2..2..4..4....1..1..2..2..4..4..5..5....1..1..2..2..1..1..0..0

%e ..1..1..1..1..2..2..4..4....1..1..2..2..4..4..5..5....1..1..2..2..1..1..0..0

%e ..1..1..2..2..3..3..5..5....3..3..4..4..3..3..1..1....3..3..1..1..4..4..6..6

%e ..1..1..2..2..3..3..5..5....3..3..4..4..3..3..1..1....3..3..1..1..4..4..6..6

%e ..0..0..4..4..5..5..6..6....4..4..5..5..1..1..6..6....5..5..0..0..6..6..6..6

%e ..0..0..4..4..5..5..6..6....4..4..5..5..1..1..6..6....5..5..0..0..6..6..6..6

%K nonn

%O 1,4

%A _R. H. Hardin_ Jul 14 2011