A221499 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..3 nXk array.

1, 2, 1, 4, 7, 1, 7, 33, 21, 1, 12, 119, 228, 65, 1, 21, 457, 1733, 1561, 200, 1, 37, 1710, 14297, 24485, 10648, 616, 1, 65, 6466, 111042, 420022, 345755, 72625, 1897, 1, 114, 24433, 874106, 6665056, 12253352, 4882030, 495329, 5842, 1, 200, 92196, 6765307

Offset: 1

Author

R. H. Hardin Jan 18 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

.1......7........33.........119..........457..........1710..........6466

.1.....21.......228........1733........14297........111042........874106

.1.....65......1561.......24485.......420022.......6665056.....107190767

.1....200.....10648......345755.....12253352.....395300442...12890161742

.1....616.....72625.....4882030....356799776...23379869304.1542965772979

.1...1897....495329....68933905..10385011060.1381866811158

.1...5842...3378333...973340015.302233979821

.1..17991..23041525.13743460075

.1..55405.157152036

.1.170625

.1

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..83

Crossrefs

Column 2 is A218836

Column 3 is A221030

Column 4 is A221031

Row 1 is A005251(n+2)

Row 2 is A221036