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A183253 T(n,k)=Half the number of nXk binary arrays with the number of 1-1 adjacencies equal to the number of 0-0 adjacencies 7
1, 1, 1, 1, 3, 1, 2, 6, 6, 2, 3, 18, 25, 18, 3, 6, 60, 164, 164, 60, 6, 10, 210, 1092, 2101, 1092, 210, 10, 20, 756, 7954, 29100, 29100, 7954, 756, 20, 35, 2772, 57519, 417190, 807261, 417190, 57519, 2772, 35, 70, 10296, 429936, 6104168, 23226996, 23226996 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..1.....1........1...........2..............3.................6

..1.....3........6..........18.............60...............210

..1.....6.......25.........164...........1092..............7954

..2....18......164........2101..........29100............417190

..3....60.....1092.......29100.........807261..........23226996

..6...210.....7954......417190.......23226996........1333831052

.10...756....57519.....6104168......679637064.......78105333988

.20..2772...429936....90554742....20179029954.....4635786110412

.35.10296..3205504..1356933444...604725622404...277890240523800

.70.38610.24288784.20489622108.18266061977928.16785123061670988

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..3000

EXAMPLE

Some solutions with a(1,1)=0 for 4X6

..0..0..0..0..0..1....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..1..0..1..1..1....0..0..0..1..1..1....0..0..1..1..1..1

..0..1..1..1..1..1....1..1..0..0..0..0....1..0..1..0..0..1....0..1..1..0..1..1

..0..0..0..0..0..1....1..1..0..0..1..0....1..1..1..1..1..0....0..1..0..0..0..0

CROSSREFS

Column 1 is A001405(n-2)

Column 2 is 3*A000984(n-2)

Sequence in context: A318214 A318552 A183289 * A201675 A279859 A201655

Adjacent sequences:  A183250 A183251 A183252 * A183254 A183255 A183256

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 03 2011

STATUS

approved

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Last modified August 9 21:08 EDT 2022. Contains 356026 sequences. (Running on oeis4.)