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A279580 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 11
0, 0, 0, 2, 4, 0, 4, 36, 40, 0, 14, 304, 944, 352, 0, 40, 2212, 20776, 23072, 3008, 0, 120, 15428, 406200, 1356120, 547168, 25280, 0, 352, 103648, 7630156, 72177144, 86246944, 12701248, 209792, 0, 1032, 680052, 138602548, 3684310576, 12490527012 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
COMMENTS
Table starts
.0.......0..........2..............4................14....................40
.0.......4.........36............304..............2212.................15428
.0......40........944..........20776............406200...............7630156
.0.....352......23072........1356120..........72177144............3684310576
.0....3008.....547168.......86246944.......12490527012.........1732429706176
.0...25280...12701248.....5385546376.....2121871518232.......800037452999320
.0..209792..290067328...331573929104...355347019237332....364333887872124232
.0.1723392.6540226304.20185283466808.58835479020749472.164074884296083732404
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = 16*a(n-1) -72*a(n-2) +64*a(n-3) -16*a(n-4)
k=3: [order 6] for n>7
k=4: [order 16] for n>17
k=5: [order 28] for n>29
Empirical for row n:
n=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>5
n=2: [order 8]
n=3: [order 34] for n>35
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..0. .0..1..1..1. .0..1..1..2. .0..1..2..1. .0..1..2..1
..1..2..1..2. .2..0..0..0. .1..0..0..2. .0..2..2..2. .1..0..0..2
..0..1..0..2. .0..2..2..0. .2..0..2..1. .1..2..1..0. .0..2..2..1
CROSSREFS
Row 1 is A279322.
Sequence in context: A059226 A221655 A221087 * A197513 A097666 A144810
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 15 2016
STATUS
approved

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Last modified June 17 10:05 EDT 2024. Contains 373445 sequences. (Running on oeis4.)