A220794 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..2 nXk array

1, 1, 1, 2, 6, 1, 4, 19, 23, 1, 7, 76, 142, 94, 1, 12, 267, 1753, 1224, 380, 1, 21, 1074, 15486, 32507, 9500, 1494, 1, 37, 4069, 132977, 602536, 563715, 74581, 5939, 1, 65, 15916, 1115041, 10731537, 20635919, 9507244, 568257, 23398, 1, 114, 62161

Offset

1,4

Comments

Table starts

.1.....1......2.......4........7.......12........21......37....65.114

.1.....6.....19......76......267.....1074......4069...15916.62161

.1....23....142....1753....15486...132977...1115041.9161834

.1....94...1224...32507...602536.10731537.183846017

.1...380...9500..563715.20635919

.1..1494..74581.9507244

.1..5939.568257

.1.23398

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 2 is A220372

Row 1 is A005251(n+1)

Sequence in context: A324033 A077761 A220406 * A220959 A360598 A243434

Adjacent sequences: A220791 A220792 A220793 * A220795 A220796 A220797

Keyword

nonn,tabl

Author

R. H. Hardin Dec 21 2012

Status

approved