A186589 T(n,k)=Number of (n+3)X(k+3) 0..2 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

43046721, 8824, 8824, 38608, 827, 38608, 192026, 1991, 1991, 192026, 805791, 12263, 5879, 12263, 805791, 1728546, 42313, 39757, 39757, 42313, 1728546, 2296065, 79015, 115699, 163723, 115699, 79015, 2296065, 2604716, 98893, 149305, 293665, 293665

Offset

1,1

Comments

Table starts

.43046721...8824..38608.192026.805791.1728546.2296065.2604716.2927679.3089510

.....8824....827...1991..12263..42313...79015...98893..104983..108805..112735

....38608...1991...5879..39757.115699..149305..156259..160945..165739..171145

...192026..12263..39757.163723.293665..328891..335737..342691..350257..364195

...805791..42313.115699.293665.569947..626233..635779..645937..662467..701065

..1728546..79015.149305.328891.626233..811795..823249..841075..880969.1019683

..2296065..98893.156259.335737.635779..823249..855715..895753.1034611.1222033

..2604716.104983.160945.342691.645937..841075..895753.1049539.1237105.1449115

..2927679.108805.165739.350257.662467..880969.1034611.1237105.1464331.1727785

..3089510.112735.171145.364195.701065.1019683.1222033.1449115.1727785.2211763

Links

R. H. Hardin, Table of n, a(n) for n = 1..760

Formula

Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+2*a(n-4)-4*a(n-5)+2*a(n-6)+2*a(n-8)-2*a(n-9) for n>24,14,13,14,15,16,17,18 for k=1..8

Example

Some solutions for 6X5
..0..1..2..2..2....0..0..1..1..0....0..0..1..1..0....0..0..0..0..0
..0..0..1..2..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..1..2....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..1....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....2..2..2..0..0....0..0..0..0..1....2..1..0..0..0

Crossrefs

Sequence in context: A028520 A288843 A186580 * A186581 A017084 A017168

Adjacent sequences: A186586 A186587 A186588 * A186590 A186591 A186592

Keyword

nonn,tabl

Author

R. H. Hardin Feb 24 2011

Status

approved