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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 2
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 (list; table; graph; refs; listen; history; text; internal format)
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: A258443 A183670 A186569 * A250597 A016869 A016917

Adjacent sequences:  A186567 A186568 A186569 * A186571 A186572 A186573

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 23 2011

STATUS

approved

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Last modified October 20 15:23 EDT 2021. Contains 348111 sequences. (Running on oeis4.)