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Number of nX5 arrays of permutations of 5 copies of 0..n-1 with every element equal to at least one horizontal neighbor and the top left element equal to 0.
0

%I #4 Jan 20 2016 06:42:21

%S 1,5,58,1398,55896,3353880,281725200,31553227440,4543664711040,

%T 817859648350080

%N Number of nX5 arrays of permutations of 5 copies of 0..n-1 with every element equal to at least one horizontal neighbor and the top left element equal to 0.

%C Column 5 of A267724.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A267724.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 20 2016