A205064 - OEIS

A205064

Number of (n+1) X (n+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock differing from the number in all its horizontal and vertical neighbors.

%I #9 Oct 11 2023 15:55:44

%S 16,64,144,376,856,1984,4480,9856,22144,47104,105472,219136,489472,

%T 999424,2228224,4489216,9994240,19922944,44302336,87556096,194510848,

%U 381681664,847249408,1652555776,3665821696

%N Number of (n+1) X (n+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock differing from the number in all its horizontal and vertical neighbors.

%e Some solutions for n=4:

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

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

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

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

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

%Y Diagonal of A205072.

%K nonn,more

%O 1,1

%A _R. H. Hardin_, Jan 21 2012