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A232391 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every element next to itself plus and minus one within the range 0..3 horizontally, vertically or antidiagonally, with no adjacent elements equal 9
12, 18, 18, 78, 64, 78, 190, 192, 192, 190, 670, 840, 1192, 840, 670, 1954, 3246, 4646, 4646, 3246, 1954, 6224, 12818, 24848, 28752, 24848, 12818, 6224, 19178, 51240, 120264, 178352, 178352, 120264, 51240, 19178, 60114, 203104, 589172, 1186624 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....12......18.......78........190.........670..........1954...........6224

.....18......64......192........840........3246.........12818..........51240

.....78.....192.....1192.......4646.......24848........120264.........589172

....190.....840.....4646......28752......178352.......1186624........7492900

....670....3246....24848.....178352.....1535188......12826278......109430578

...1954...12818...120264....1186624....12826278.....148762628.....1635435360

...6224...51240...589172....7492900...109430578....1635435360....24233926664

..19178..203104..2974842...49210408...941229272...18724514604...367539805270

..60114..809436.14684400..321677208..8087908076..216025821042..5620517592220

.187412.3222418.73356856.2090311668.69852696952.2453457767066.85329905011324

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 15]

k=2: [order 44]

EXAMPLE

Some solutions for n=4 k=4

..3..1..0..3..0....1..2..1..3..2....3..0..3..1..0....0..1..0..2..1

..2..3..1..2..1....0..3..0..1..0....2..1..2..3..1....3..2..1..3..0

..1..2..0..3..0....1..2..3..2..3....0..3..0..2..3....1..3..0..1..3

..0..3..1..2..1....0..1..0..1..2....2..1..3..0..2....0..2..3..2..1

..1..2..0..3..2....2..3..2..0..1....3..0..2..1..3....3..1..0..3..0

CROSSREFS

Sequence in context: A082241 A077294 A206421 * A025491 A091196 A319229

Adjacent sequences:  A232388 A232389 A232390 * A232392 A232393 A232394

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 23 2013

STATUS

approved

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Last modified July 7 23:03 EDT 2020. Contains 335502 sequences. (Running on oeis4.)