A184614 T(n,k)=Half the number of (n+1)X(k+1) binary arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one

8, 28, 28, 98, 160, 98, 350, 918, 918, 350, 1250, 5430, 8643, 5430, 1250, 4450, 32042, 84828, 84828, 32042, 4450, 15842, 188394, 828804, 1396000, 828804, 188394, 15842, 56426, 1107926, 8066003, 22837236, 22837236, 8066003, 1107926, 56426, 200978

Offset

1,1

Comments

Table starts

......8........28..........98............350.............1250

.....28.......160.........918...........5430............32042

.....98.......918........8643..........84828...........828804

....350......5430.......84828........1396000.........22837236

...1250.....32042......828804.......22837236........624608260

...4450....188394.....8066003......371916790......16993352260

..15842...1107926....78509868.....6057271712.....462355902596

..56426...6519094...764691186....98736408638...12592730376316

.200978..38356642..7447473213..1609249499406..342921355920877

.715786.225665454.72527899252.26226651558476.9337694288241678

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A220288 A201101 A201105 * A006377 A319233 A323198

Adjacent sequences: A184611 A184612 A184613 * A184615 A184616 A184617

Keyword

nonn,tabl

Author

R. H. Hardin Jan 18 2011

Status

approved