A266075 - OEIS

%I #6 Apr 20 2020 19:41:08

%S 1,1,4,5,29,78,466,3907,52773,925875,25789942

%N Number of n X n integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one.

%C Diagonal of A266081.

%e All solutions for n=4

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

%e ..0..3..4..3....2..3..2..0....0..0..0..0....3..4..3..0....0..2..3..2

%e ..0..2..3..2....3..4..3..0....0..0..0..0....2..3..2..0....0..3..4..3

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

%Y Cf. A266081.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 20 2015