A223114 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order

1, 0, 0, 0, 4, 0, 6, 28, 22, 0, 16, 124, 269, 184, 0, 16, 832, 5624, 6676, 1222, 0, 40, 6092, 64346, 244607, 92011, 9918, 0, 280, 40960, 1435644, 9329085, 10831996, 2301900, 73038, 0, 768, 284702, 17231678, 361530918, 713593552, 488343248, 32735497

Offset

1,5

Comments

Table starts

.1........0...........0.............6............16.............16

.0........4..........28...........124...........832...........6092

.0.......22.........269..........5624.........64346........1435644

.0......184........6676........244607.......9329085......361530918

.0.....1222.......92011......10831996.....713593552....92719306520

.0.....9918.....2301900.....488343248..107964680902.24139544534018

.0....73038....32735497...22325434918.8477145578374

.0...571736...837862668.1030482342515

.0..4390202.12106093706

.0.34351802

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3 k=4
..0..1..2..2....0..1..2..0....0..1..0..0....0..1..0..2....0..1..0..1
..2..0..0..1....0..1..2..1....2..1..0..0....1..2..1..1....1..1..2..1
..0..1..2..1....0..0..0..2....2..1..0..0....1..2..1..1....2..1..0..0

Crossrefs

Column 2 is A222885

Row 1 is A222884

Sequence in context: A265644 A296230 A222889 * A222832 A279871 A223052

Adjacent sequences: A223111 A223112 A223113 * A223115 A223116 A223117

Keyword

nonn,tabl

Author

R. H. Hardin Mar 14 2013

Status

approved