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

1,2

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

Links

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

Example

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

Crossrefs

Column 2 is A218836

Row 1 is A005251(n+2)

Sequence in context: A218842 A219421 A297314 * A219410 A221035 A221499

Adjacent sequences: A220383 A220384 A220385 * A220387 A220388 A220389

Keyword

nonn,tabl

Author

R. H. Hardin Dec 13 2012

Status

approved