A186570 T(n,k)=Number of (n+2)X(k+2) 0..5 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock

10077696, 12828, 12828, 299556, 1441, 299556, 741024, 5545, 5545, 741024, 2309831, 65919, 64794, 65919, 2309831, 4364050, 155193, 242568, 242568, 155193, 4364050, 6628076, 203371, 355246, 1831246, 355246, 203371, 6628076, 7396218, 229951

Offset

1,1

Comments

Table starts

.10077696..12828..299556..741024..2309831..4364050..6628076..7396218.17114474

....12828...1441....5545...65919...155193...203371...229951...261931...368311

...299556...5545...64794..242568...355246...390826...431806...536686...972466

...741024..65919..242568.1831246..2246326..2341306..2500186..2934466..4104646

..2309831.155193..355246.2246326..5762806..5975686..6463966..7362646..9406726

..4364050.203371..390826.2341306..5975686..7092466..8000146..9457726.13055206

..6628076.229951..431806.2500186..6463966..8000146.10131226.13097206.18950086

..7396218.261931..536686.2934466..7362646..9457726.13097206.18983086.28108366

.17114474.368311..972466.4104646..9406726.13055206.18950086.28108366.52102546

.31887378.829716.2207146.8103226.17118706.23337586.32819866.51690046.92803126

Links

R. H. Hardin, Table of n, a(n) for n = 1..449

Formula

Empirical, for all columns: a(n)=2*a(n-1)-a(n-2)+5*a(n-3)-10*a(n-4)+5*a(n-5)+5*a(n-6)-5*a(n-7) for n>24,12,11,12,13,14,15,16 respectively for k=1..8

Example

Some solutions for 5X4
..0..0..0..4....0..0..3..4....5..0..0..0....0..0..2..1....0..0..4..2
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..5
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..3..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..3..2..0..0....4..0..0..0....2..0..0..0....5..0..0..0....5..0..0..0

Crossrefs

Sequence in context: A183670 A176766 A186569 * A250597 A016869 A016917

Adjacent sequences: A186567 A186568 A186569 * A186571 A186572 A186573

Keyword

nonn,tabl

Author

R. H. Hardin Feb 23 2011

Status

approved