A183278 Half the number of n X n X n triangular binary arrays with no array-aligned 2 X 2 X 2 subtriangle being all zero or all one.

1, 3, 13, 80, 693, 8407, 142362, 3357612, 110120153, 5016480073, 317135545779, 27803984036400, 3378700619148221, 568830517952061132, 132632829107728951932, 42817890108690930718624

Offset: 1

Author

R. H. Hardin, Jan 03 2011

Keywords

• nonn

Examples

			Some solutions for 6X6X6 with a(1,1)=0
.......0............0............0............0............0............0
......0.1..........0.1..........1.1..........1.1..........1.1..........1.0
.....1.1.0........1.1.0........1.0.0........0.1.0........0.0.0........0.0.1
....0.0.1.0......0.1.0.1......0.1.0.1......1.0.1.1......0.1.1.0......0.1.0.0
...0.1.1.0.1....1.0.0.1.0....1.0.0.1.0....0.1.0.1.0....0.1.0.1.0....1.0.0.1.1
..1.0.0.1.1.0..0.0.1.0.1.0..0.0.1.0.1.0..1.0.1.0.1.1..1.1.0.1.0.1..1.0.1.0.1.0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..20