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A197317 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4 8
1, 1, 1, 2, 0, 2, 1, 3, 3, 1, 2, 2, 5, 2, 2, 4, 9, 10, 10, 9, 4, 2, 6, 128, 160, 128, 6, 2, 4, 27, 79, 152, 152, 79, 27, 4, 8, 18, 249, 790, 1033, 790, 249, 18, 8, 4, 83, 662, 2724, 4780, 4780, 2724, 662, 83, 4, 8, 56, 2767, 6242, 24903, 24704, 24903, 6242, 2767, 56, 8, 16, 257 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Every 0 is next to 0 0's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's

Table starts

.1..1....2.....1.......2........4..........2...........4.............8

.1..0....3.....2.......9........6.........27..........18............83

.2..3....5....10.....128.......79........249.........662..........2767

.1..2...10...160.....152......790.......2724........6242.........26422

.2..9..128...152....1033.....4780......24903......113774........553807

.4..6...79...790....4780....24704.....189212.....1400102.......8813744

.2.27..249..2724...24903...189212....2241018....20425821.....208960627

.4.18..662..6242..113774..1400102...20425821...282284587....3980881442

.8.83.2767.26422..553807..8813744..208960627..3980881442...82874179361

.4.56.3969.91756.2751427.62844698.1984221109.55455223337.1594105273961

LINKS

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

EXAMPLE

Some solutions containing all values 0 to 4 for n=6 k=4

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

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

..0..4..0..1....1..0..4..0....3..0..3..0....0..4..0..1....0..4..0..1

..3..0..3..0....0..4..0..1....0..4..0..1....3..0..3..0....1..0..4..0

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

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

CROSSREFS

Column 1 is A060547(n-2)

Sequence in context: A035373 A240138 A261387 * A035573 A295689 A305804

Adjacent sequences:  A197314 A197315 A197316 * A197318 A197319 A197320

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 13 2011

STATUS

approved

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Last modified July 20 12:33 EDT 2019. Contains 325180 sequences. (Running on oeis4.)