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A232459 T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically, diagonally or antidiagonally 8
1, 3, 3, 7, 51, 7, 15, 381, 381, 15, 33, 3015, 8227, 3015, 33, 73, 24651, 187989, 187989, 24651, 73, 161, 198945, 4423815, 12521603, 4423815, 198945, 161, 355, 1607067, 103104905, 865692227, 865692227, 103104905, 1607067, 355, 783, 12991131 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.......3..........7............15...............33...................73

...3......51........381..........3015............24651...............198945

...7.....381.......8227........187989..........4423815............103104905

..15....3015.....187989......12521603........865692227..........59192688269

..33...24651....4423815.....865692227.....176788379233.......35630507175345

..73..198945..103104905...59192688269...35630507175345....21136983701111465

.161.1607067.2403848151.4047993038079.7183387830867849.12543745301001506913

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-3)

k=2: a(n) = 6*a(n-1) +12*a(n-2) +39*a(n-3)

k=3: [order 9]

k=4: [order 15]

k=5: [order 46]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A193641

Sequence in context: A232309 A273043 A066142 * A175566 A248859 A171543

Adjacent sequences:  A232456 A232457 A232458 * A232460 A232461 A232462

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 24 2013

STATUS

approved

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Last modified August 3 02:48 EDT 2021. Contains 346435 sequences. (Running on oeis4.)