A208028 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 0 1 vertically.

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 102, 81, 13, 26, 256, 378, 279, 169, 19, 42, 676, 1260, 1377, 741, 361, 28, 68, 1764, 4374, 5895, 4823, 1995, 784, 41, 110, 4624, 14946, 26685, 26845, 17119, 5404, 1681, 60, 178, 12100, 51384, 118179, 158847, 123709

Offset

1,1

Comments

Table starts

..2....4.....6.....10......16.......26........42.........68.........110

..4...16....36....100.....256......676......1764.......4624.......12100

..6...36...102....378....1260.....4374.....14946......51384......176238

..9...81...279...1377....5895....26685....118179.....527913.....2350215

.13..169...741...4823...26845...158847....917293....5349227....31070195

.19..361..1995..17119..123709...955073...7184755...54606513...413322903

.28..784..5404..61292..574560..5788524..56728924..561913408..5542832148

.41.1681.14555.218243.2652823.34901455.445530887.5753550295.73969794325

Links

R. H. Hardin, Table of n, a(n) for n = 1..763

Example

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

Crossrefs

Column 1 is A000930(n+3)

Column 2 is A207170

Row 1 is A006355(n+2)

Row 2 is A206981

Row 3 is A060521

Sequence in context: A207661 A208555 A208420 * A208369 A207717 A208078

Adjacent sequences: A208025 A208026 A208027 * A208029 A208030 A208031

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 22 2012

Status

approved