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

%S 0,0,0,0,0,1,110,120266,36138620,24354992195,18944127297891

%N Number of n X n symmetric 0..5 arrays with each element equal to at least two horizontal or vertical neighbors, containing at least one 5 and with new values 0..5 introduced in lower triangular row major order

%e Some solutions for 7X7

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

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

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

%e ..1..1..1..2..2..4..4....1..1..2..3..3..2..2....1..1..2..3..3..2..2

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

%e ..3..3..4..4..4..5..5....4..4..2..2..2..5..5....4..4..2..2..5..5..5

%e ..3..3..4..4..4..5..5....4..4..2..2..2..5..5....4..4..2..2..5..5..5

%K nonn

%O 1,7

%A _R. H. Hardin_ Jul 11 2011