A220386 T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..1 nXk array.

1, 2, 1, 4, 7, 1, 7, 25, 21, 1, 12, 79, 136, 65, 1, 21, 278, 757, 753, 200, 1, 37, 966, 5114, 7462, 4160, 616, 1, 65, 3362, 33247, 96772, 73066, 22989, 1897, 1, 114, 11642, 211944, 1191846, 1829169, 715412, 127037, 5842, 1, 200, 40375, 1358599, 14300020

Offset: 1

Author

R. H. Hardin Dec 13 2012

Keywords

• nonn
• tabl

Comments

Table starts

.1......2.........4...........7............12.............21..............37

.1......7........25..........79...........278............966............3362

.1.....21.......136.........757..........5114..........33247..........211944

.1.....65.......753........7462.........96772........1191846........14300020

.1....200......4160.......73066.......1829169.......42415575.......953142266

.1....616.....22989......715412......34521416.....1509240923.....63512364783

.1...1897....127037.....7003040.....651568437....53692543412...4230913273170

.1...5842....702009....68557435...12297040231..1910141303899.281832304026762

.1..17991...3879313...671141189..232084431547.67952729355483

.1..55405..21437148..6570141318.4380156648582

.1.170625.118462034.64318370539

.1.525456.654623158

Examples

			Some solutions for n=3 k=4
..0..0..1..0....1..1..1..0....1..1..1..1....1..1..0..0....1..1..1..1
..0..1..1..0....0..1..0..0....0..1..1..1....1..1..0..0....0..1..1..1
..0..1..0..0....1..0..0..1....1..1..0..1....1..1..0..0....0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..110

Crossrefs

Column 2 is A218836

Row 1 is A005251(n+2)