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Number of n X 7 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.
0

%I #7 Jun 06 2018 15:19:16

%S 528,6427791,35987024999,231638725420288,1458877292453477918,

%T 9223088985799640757493

%N Number of n X 7 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order.

%e Some solutions for n=5

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

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

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

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

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

%Y Column 7 of A205161.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 22 2012