A185798 T(n,k) = Number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock sum equal to any horizontal or vertical neighbor 2 X 2 subblock sum.

16, 40, 40, 100, 96, 100, 260, 224, 224, 260, 676, 576, 510, 576, 676, 1716, 1408, 1336, 1336, 1408, 1716, 4356, 3456, 3196, 3756, 3196, 3456, 4356, 11220, 8320, 7888, 9368, 9368, 7888, 8320, 11220, 28900, 20864, 18616, 24392, 23064, 24392, 18616, 20864

Offset

1,1

Comments

Table starts

....16.....40....100.....260.....676.....1716.....4356.....11220.....28900

....40.....96....224.....576....1408.....3456.....8320.....20864.....50816

...100....224....510....1336....3196.....7888....18616.....47776....114688

...260....576...1336....3756....9368....24392....59944....164576....411300

...676...1408...3196....9368...23064....61676...149828....433296...1073036

..1716...3456...7888...24392...61676...175588...441004...1379208...3532152

..4356...8320..18616...59944..149828...441004..1091308...3629540...9151956

.11220..20864..47776..164576..433296..1379208..3629540..13289252..35756268

.28900..50816.114688..411300.1073036..3532152..9151956..35756268..94533508

.73780.125312.287552.1098776.3000848.10752096.29663392.128976744.365151860

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

Some solutions for 4 X 3
..1..1..1....1..1..0....1..1..0....1..1..1....0..1..1....0..1..1....1..0..0
..1..0..0....1..1..0....1..0..0....0..1..1....1..0..1....0..0..0....1..0..1
..0..0..0....1..0..0....1..0..0....1..0..1....1..1..0....1..1..0....0..0..1
..0..0..1....0..0..0....1..1..1....1..1..0....0..0..0....1..1..1....1..1..1

Crossrefs

Sequence in context: A144448 A070584 A205072 * A253698 A185769 A205255

Adjacent sequences: A185795 A185796 A185797 * A185799 A185800 A185801

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2011

Status

approved