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A274959 T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-1,-1) (-2,0) or (0,-2) and new values introduced in order 0..2. 7
1, 2, 2, 3, 9, 3, 6, 24, 24, 6, 12, 72, 90, 72, 12, 24, 216, 384, 384, 216, 24, 48, 648, 1638, 2376, 1638, 648, 48, 96, 1944, 6936, 14406, 14406, 6936, 1944, 96, 192, 5832, 29370, 87780, 126540, 87780, 29370, 5832, 192, 384, 17496, 124416, 536406, 1119744 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...1.....2.......3.........6.........12...........24.............48
...2.....9......24........72........216..........648...........1944
...3....24......90.......384.......1638.........6936..........29370
...6....72.....384......2376......14406........87780.........536406
..12...216....1638.....14406.....126540......1119744........9902040
..24...648....6936.....87780....1119744.....14362920......183551766
..48..1944...29370....536406....9902040....183551766.....3403449396
..96..5832..124416...3278016...87416934...2348053596....63272648886
.192.17496..527046..20027574..772181640..30087735576..1177544081274
.384.52488.2232600.122367012.6822635046.385522530402.21902996126304
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) for n>3
k=2: a(n) = 3*a(n-1) for n>3
k=3: a(n) = 4*a(n-1) +4*a(n-3) +a(n-4) for n>5
k=4: [order 9] for n>11
k=5: [order 25] for n>28
k=6: [order 81] for n>83
EXAMPLE
Some solutions for n=4 k=4
..0..1..2..0. .0..1..1..0. .0..1..2..0. .0..1..2..0. .0..1..1..2
..1..2..0..1. .1..1..0..2. .1..2..0..1. .2..2..0..0. .1..1..2..2
..2..0..1..2. .1..0..2..1. .2..0..1..2. .2..0..0..2. .1..2..2..0
..2..1..1..2. .2..0..1..1. .0..1..1..0. .0..0..2..1. .0..0..1..1
CROSSREFS
Column 1 is A003945(n-2).
Sequence in context: A132812 A203371 A181206 * A143307 A278463 A276248
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jul 12 2016
STATUS
approved

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Last modified July 18 04:06 EDT 2024. Contains 374377 sequences. (Running on oeis4.)