A185497 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

0, 24, 24, 36, 128, 36, 160, 708, 708, 160, 380, 3792, 5936, 3792, 380, 1332, 20872, 59384, 59384, 20872, 1332, 3616, 114724, 559188, 1020072, 559188, 114724, 3616, 11828, 631720, 5442964, 17217132, 17217132, 5442964, 631720, 11828, 33764

Offset

1,2

Comments

Table starts

......0........24..........36...........160............380...........1332

.....24.......128.........708..........3792..........20872.........114724

.....36.......708........5936.........59384.........559188........5442964

....160......3792.......59384.......1020072.......17217132......294899588

....380.....20872......559188......17217132......512228678....15557758676

...1332....114724.....5442964.....294899588....15557758676...835833221744

...3616....631720....52129536....5020204316...468319269164.44566790792864

..11828...3480976...504455124...85864759616.14183811777874

..33764..19187324..4854725100.1465390598424

.107240.105781152.46887124724

Links

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

Example

Some solutions for 5X4
..0..1..1..0....1..1..0..1....0..1..0..1....1..1..1..0....1..1..1..1
..0..0..1..1....1..1..0..1....1..1..1..0....1..1..1..0....0..1..1..1
..1..0..0..1....1..1..1..0....1..0..1..0....0..1..0..1....1..1..1..1
..0..1..1..1....1..0..1..1....0..1..0..1....1..0..0..1....0..0..1..0
..1..0..0..1....0..1..0..1....0..0..0..0....0..1..0..1....1..1..0..1

Crossrefs

Sequence in context: A115028 A099543 A188311 * A186939 A185750 A040553

Adjacent sequences: A185494 A185495 A185496 * A185498 A185499 A185500

Keyword

nonn,tabl

Author

R. H. Hardin Jan 29 2011

Status

approved