login
Number of n X n 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
0

%I #6 Apr 06 2020 00:31:40

%S 1,4,62,5888,2179255,3648835932,25064817057781,708804054303474038

%N Number of n X n 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Diagonal of A284165.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284165.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 21 2017