login
A186128
T(n,k) = Number of (n+1) X (k+1) binary arrays with every 2 X 2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2 X 2 subblock diagonal sum less antidiagonal sum.
10
0, 14, 14, 18, 38, 18, 50, 94, 94, 50, 74, 254, 262, 254, 74, 182, 682, 946, 946, 682, 182, 298, 1878, 2978, 4254, 2978, 1878, 298, 678, 5214, 10502, 17794, 17794, 10502, 5214, 678, 1186, 14606, 34678, 79782, 90054, 79782, 34678, 14606, 1186, 2566, 41138
OFFSET
1,2
COMMENTS
Table starts
....0.....14......18.......50........74.........182..........298...........678
...14.....38......94......254.......682........1878.........5214.........14606
...18.....94.....262......946......2978.......10502........34678........120290
...50....254.....946.....4254.....17794.......79782.......350266.......1574348
...74....682....2978....17794.....90054......539962......2915982......17129792
..182...1878...10502....79782....539962.....4056794.....29491822.....220010616
..298...5214...34678...350266...2915982....29491822....264173146....2630528360
..678..14606..120290..1574348..17129792...220010616...2630528360...33067061342
.1186..41138..405274..7039308..95854320..1637583596..24515504568..411149162658
.2566.116350.1395998.31791832.556779864.12272724126.241032804442.5153688541776
LINKS
EXAMPLE
Some solutions for 4 X 3
..1..0..0....0..0..1....1..1..0....0..1..0....1..0..0....0..0..1....1..0..1
..1..0..0....0..0..1....0..1..1....1..1..1....0..0..1....0..0..1....0..0..0
..0..0..0....1..0..0....0..1..1....1..0..1....1..0..0....1..0..0....0..1..0
..0..1..1....1..0..0....1..1..0....1..0..1....0..0..1....0..0..1....0..1..0
CROSSREFS
Sequence in context: A128883 A010853 A291510 * A105707 A325602 A157427
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 13 2011
STATUS
approved