A184081 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

29, 58, 58, 150, 74, 150, 335, 239, 239, 335, 728, 578, 1436, 578, 728, 1499, 1599, 5760, 5760, 1599, 1499, 2968, 4233, 25954, 44050, 25954, 4233, 2968, 5645, 11128, 104404, 360196, 360196, 104404, 11128, 5645, 10331, 28248, 422992, 2628898, 5727704

Offset

1,1

Comments

Table starts

....29.....58......150.......335.........728........1499........2968

....58.....74......239.......578........1599........4233.......11128

...150....239.....1436......5760.......25954......104404......422992

...335....578.....5760.....44050......360196.....2628898....18149260

...728...1599....25954....360196.....5727704....78169918..1001709070

..1499...4233...104404...2628898....78169918..2187790488.53028481224

..2968..11128...422992..18149260..1001709070.53028481224

..5645..28248..1588555.114306440.11365443208

.10331..67622..5471235.641511811

.18242.152873.17366119

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for 3X3
..1..2..2....0..1..1....0..0..0....0..0..0....1..2..2....0..1..1....0..1..1
..2..0..1....1..1..1....0..0..0....0..0..0....2..1..1....2..0..2....1..0..0
..2..1..2....1..1..1....0..0..1....0..0..0....2..1..2....2..0..2....1..0..2
...
...5..5.......3..4.......0..0.......0..0.......6..6.......3..4.......2..2...
...5..4.......4..4.......0..1.......0..0.......6..5.......4..4.......2..2...

Crossrefs

Sequence in context: A123848 A340669 A040812 * A333912 A333913 A164011

Adjacent sequences: A184078 A184079 A184080 * A184082 A184083 A184084

Keyword

nonn,tabl

Author

R. H. Hardin Jan 09 2011

Status

approved