A181011 - OEIS

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A181011

T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and every 0 adjacent to a 1 and every 1 adjacent to a 0

0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 59, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 127, 127, 1, 0, 0, 0

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,41

COMMENTS

Table starts

.0.1.0.0.0..0...0.....0.......0........0..........0...........0.............0

.1.1.0.0.0..0...0.....0.......0........0..........0...........0.............0

.0.0.1.0.0..0...0.....0.......0........0..........0...........0.............0

.0.0.0.1.1..0...0.....0.......0........0..........0...........0.............0

.0.0.0.1.2..1...0.....0.......0........0..........0...........0.............0

.0.0.0.0.1..8..11.....6.......1........0..........0...........0.............0

.0.0.0.0.0.11..59...127.....168......144.........85..........38............10

.0.0.0.0.0..6.127...744....2483.....5729......10251.......14885.........17807

.0.0.0.0.0..1.168..2483...19644...104111.....425290.....1452733.......4279160

.0.0.0.0.0..0.144..5729..104111..1150827....9617529....66925648.....403935677

.0.0.0.0.0..0..85.10251..425290..9617529..158171825..2133903810...24963075674

.0.0.0.0.0..0..38.14885.1452733.66925648.2133903810.54785832985.1214165065307

LINKS

R. H. Hardin, Table of n, a(n) for n=1..364

EXAMPLE

All solutions for 5X5

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

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

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

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

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

CROSSREFS

Sequence in context: A188585 A294068 A339553 * A084863 A368072 A233441

Adjacent sequences: A181008 A181009 A181010 * A181012 A181013 A181014

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 30 2010

STATUS

approved