A221062 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..3 nXk array

1, 2, 1, 4, 8, 1, 8, 37, 32, 1, 16, 172, 323, 128, 1, 32, 771, 3322, 2735, 512, 1, 64, 3392, 29939, 58710, 22683, 2048, 1, 128, 14569, 254900, 1016831, 989020, 185563, 8192, 1, 256, 61210, 2080204, 16715282, 33166449, 16261308, 1503659, 32768, 1, 512, 252491

Offset

1,2

Comments

Table starts

.1.....2.......4........8.......16.......32......64......128....256.512

.1.....8......37......172......771.....3392...14569....61210.252491

.1....32.....323.....3322....29939...254900.2080204.16745866

.1...128....2735....58710..1016831.16715282

.1...512...22683...989020.33166449

.1..2048..185563.16261308

.1..8192.1503659

.1.32768

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..48

Example

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

Crossrefs

Column 2 is A004171(n-1)

Row 1 is A000079(n-1)

Sequence in context: A330787 A128412 A221660 * A220916 A221632 A071951

Adjacent sequences: A221059 A221060 A221061 * A221063 A221064 A221065

Keyword

nonn,tabl

Author

R. H. Hardin Dec 31 2012

Status

approved