A221660 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..2 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, 254682, 1016831, 989020, 185563, 8192, 1, 256, 61210, 2078316, 16705642, 33166449, 16261308, 1503659, 32768, 1, 512, 252491

Offset

1,2

Comments

Table starts

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

.1......8.......37........172.........771........3392.......14569......61210

.1.....32......323.......3322.......29939......254682.....2078316...16737048

.1....128.....2735......58710.....1016831....16705642...268216870.4294510063

.1....512....22683.....989020....33166449..1072967251.34355764004

.1...2048...185563...16261308..1068217665.68708241498

.1...8192..1503659..263988148.34258980206

.1..32768.12103019.4256750870

.1.131072.96951211

.1.524288

.1

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

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

Crossrefs

Column 2 is A004171(n-1)

Column 3 is A221059

Column 4 is A221060

Column 5 is A221061

Row 1 is A000079(n-1)

Row 2 is A221063

Sequence in context: A220579 A330787 A128412 * A221062 A220916 A221632

Adjacent sequences: A221657 A221658 A221659 * A221661 A221662 A221663

Keyword

nonn,tabl

Author

R. H. Hardin Jan 21 2013

Status

approved