A202406 T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 010 in rows and columns.

126, 441, 441, 1785, 2401, 1785, 7225, 14161, 14161, 7225, 27880, 83521, 127449, 83521, 27880, 107584, 485809, 1147041, 1147041, 485809, 107584, 422136, 2825761, 9967797, 15752961, 9967797, 2825761, 422136, 1656369, 16475481, 86620249

Offset: 1

Author

R. H. Hardin, Dec 19 2011

Keywords

• nonn
• tabl

Examples

			Table starts
......126........441.........1785...........7225.............27880
......441.......2401........14161..........83521............485809
.....1785......14161.......127449........1147041...........9967797
.....7225......83521......1147041.......15752961.........204518601
....27880.....485809......9967797......204518601........4005967518
...107584....2825761.....86620249.....2655237841.......78466093924
...422136...16475481....761992011....35242177441.....1562067102398
..1656369...96059601...6703188129...467758877041....31096917284521
..6459453..559842921..58683373353..6151258109929...615218671150193
.25190361.3262808641.513746331121.80892053988001.12171431974069369
...
Some solutions for n=2 k=3
..1..0..0..1..1....0..0..1..1..1....0..1..1..1..1....1..1..0..0..1
..1..1..0..0..1....1..0..0..1..1....0..1..1..1..1....1..1..1..0..0
..0..1..1..1..0....1..1..1..1..0....1..0..1..1..0....0..1..1..1..0
..0..0..1..1..1....0..1..1..1..0....1..1..1..0..1....1..1..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..418