A183262 T(n,k)=Number of nXk binary arrays with the number of 0-1 adjacencies equal to the number of 0-0 adjacencies

2, 1, 1, 3, 5, 3, 3, 5, 5, 3, 7, 22, 39, 22, 7, 8, 59, 157, 157, 59, 8, 17, 220, 1074, 1899, 1074, 220, 17, 26, 696, 6851, 23285, 23285, 6851, 696, 26, 55, 2461, 44684, 284314, 526941, 284314, 44684, 2461, 55, 89, 8369, 295255, 3534109, 12358457, 12358457

Offset

1,1

Comments

Table starts

..2.....1........3..........3.............7................8

..1.....5........5.........22............59..............220

..3.....5.......39........157..........1074.............6851

..3....22......157.......1899.........23285...........284314

..7....59.....1074......23285........526941.........12358457

..8...220.....6851.....284314......12358457........553836104

.17...696....44684....3534109.....294747516......25285926227

.26..2461...295255...44666147....7119707510....1169152157882

.55..8369..1966032..568723429..173610143327...54566287853953

.89.29428.13171478.7296845360.4263303128795.2565099972100788

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

Some solutions for 4X6
..1..1..0..0..0..1....0..1..1..0..0..0....0..1..0..0..0..1....0..0..0..0..1..0
..0..0..0..0..0..1....1..1..1..0..0..1....0..0..1..0..0..0....0..0..0..0..0..0
..1..0..1..0..0..0....1..0..0..0..0..1....1..0..0..0..0..0....1..0..1..1..1..0
..0..0..0..1..0..1....0..0..0..1..1..1....1..0..1..1..0..1....1..0..1..0..0..1

Crossrefs

Sequence in context: A058732 A060082 A102225 * A287030 A187066 A187065

Adjacent sequences: A183259 A183260 A183261 * A183263 A183264 A183265

Keyword

nonn,tabl

Author

R. H. Hardin Jan 03 2011

Status

approved