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A187441 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors 10
81, 646, 646, 5344, 14178, 5344, 44195, 311730, 311730, 44195, 365485, 6858445, 18257013, 6858445, 365485, 3022484, 150878368, 1070374436, 1070374436, 150878368, 3022484, 24995294, 3319295436, 62735788524, 167339492229 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..........81............646..............5344..............44195

.........646..........14178............311730............6858445

........5344.........311730..........18257013.........1070374436

.......44195........6858445........1070374436.......167339492229

......365485......150878368.......62735788524.....26149356865336

.....3022484.....3319295436.....3677337022406...4086873166309438

....24995294....73023484028...215547981233289.638715674028172903

...206705746..1606497082565.12634446300216814

..1709412335.35342494847192

.14136474668

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for 4X3

..2..0..1....2..0..0....2..0..0....1..0..0....2..0..0....1..0..0....2..0..1

..0..1..1....1..1..2....1..1..0....2..2..2....2..1..0....1..0..2....2..2..2

..0..1..1....0..2..2....2..0..2....0..0..2....2..2..2....2..0..1....0..0..2

..2..0..1....2..2..1....1..1..1....2..0..2....1..2..1....2..2..0....0..2..0

CROSSREFS

Sequence in context: A185848 A237629 A236720 * A187433 A269055 A236876

Adjacent sequences:  A187438 A187439 A187440 * A187442 A187443 A187444

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 10 2011

STATUS

approved

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Last modified May 7 17:19 EDT 2021. Contains 343652 sequences. (Running on oeis4.)