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Number of n X n symmetric 0..7 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..7 introduced in lower triangular row major order
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%I #5 Dec 18 2015 18:17:41

%S 0,1,1,6,35,697,19477,1567298,211653572,80504100636

%N Number of n X n symmetric 0..7 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..7 introduced in lower triangular row major order

%e Some solutions for 8X8 containing a 7

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

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

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

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

%e ..3..3..1..1..4..4..6..6....3..3..4..4..2..2..7..7....3..3..2..2..4..4..7..7

%e ..3..3..1..1..4..4..6..6....3..3..4..4..2..2..7..7....3..3..2..2..4..4..7..7

%e ..3..3..5..5..6..6..7..7....5..5..6..6..7..7..6..6....5..5..6..6..7..7..2..2

%e ..3..3..5..5..6..6..7..7....5..5..6..6..7..7..6..6....5..5..6..6..7..7..2..2

%K nonn

%O 1,4

%A _R. H. Hardin_ Jul 14 2011