A188508 T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, vertically or horizontally.

2, 4, 4, 7, 16, 7, 12, 49, 49, 12, 21, 144, 229, 144, 21, 37, 441, 971, 971, 441, 37, 65, 1369, 4351, 5626, 4351, 1369, 65, 114, 4225, 20124, 35079, 35079, 20124, 4225, 114, 200, 12996, 92597, 230877, 317751, 230877, 92597, 12996, 200, 351, 40000, 423074

Offset: 1

Author

R. H. Hardin Apr 02 2011

Keywords

• nonn
• tabl

Comments

Table starts

...2......4.......7........12..........21............37..............65

...4.....16......49.......144.........441..........1369............4225

...7.....49.....229.......971........4351.........20124...........92597

..12....144.....971......5626.......35079........230877.........1512392

..21....441....4351.....35079......317751.......3121877........30288308

..37...1369...20124....230877.....3121877......47153387.......697038111

..65...4225...92597...1512392....30288308.....697038111.....15602080066

.114..12996..423074...9787958...288040928...10000092025....335304991524

.200..40000.1932355..63259244..2737303569..143394872372...7194757384224

.351.123201.8836938.409715970.26117921403.2069826687060.155853551899068

Examples

			Some solutions for 5X3
..1..1..0....1..0..1....0..1..1....1..0..0....1..1..1....1..1..1....0..0..0
..1..1..0....1..1..1....1..0..1....1..1..1....1..0..0....1..1..1....1..0..0
..1..1..1....1..1..1....1..0..0....1..1..1....1..0..0....1..0..1....1..1..1
..0..1..1....1..0..1....0..0..0....1..1..1....0..0..1....1..1..0....0..1..1
..0..0..0....0..0..1....0..0..1....0..0..0....0..0..1....1..1..0....0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..337

Crossrefs

Column 1 is A005251(n+3)