A220406 T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, diagonal and antidiagonal neighbors in a random 0..1 nXk array

1, 1, 1, 2, 6, 1, 4, 17, 23, 1, 7, 40, 122, 78, 1, 12, 93, 908, 720, 292, 1, 21, 206, 6013, 10989, 4304, 1066, 1, 37, 431, 41510, 128448, 139233, 25391, 3922, 1, 65, 924, 273253, 1701214, 2996186, 1782679, 150079, 14420, 1, 114, 1863, 1851686, 20736643

Offset

1,4

Comments

Table starts

.1.....1......2........4........7.......12.......21........37.......65..114.200

.1.....6.....17.......40.......93......206......431.......924.....1863.3898

.1....23....122......908.....6013....41510...273253...1851686.12276677

.1....78....720....10989...128448..1701214.20736643.263993960

.1...292...4304...139233..2996186.76047436

.1..1066..25391..1782679.74035199

.1..3922.150079.22578152

.1.14420.884793

.1.53082

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 2 is A220238

Row 1 is A005251(n+1)

Sequence in context: A129677 A324033 A077761 * A372261 A220794 A220959

Adjacent sequences: A220403 A220404 A220405 * A220407 A220408 A220409

Keyword

nonn,tabl

Author

R. H. Hardin Dec 13 2012

Status

approved