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A232137 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order 15
6, 36, 44, 200, 728, 328, 1140, 10956, 14752, 2448, 6468, 169692, 602468, 298912, 18272, 36752, 2616952, 25364480, 33162868, 6056640, 136384, 208772, 40399768, 1063744484, 3795674252, 1825568436, 122721280, 1017984, 1186044, 623543776 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.....6......36........200.........1140............6468.............36752
....44.....728......10956.......169692.........2616952..........40399768
...328...14752.....602468.....25364480......1063744484.......44671124016
..2448..298912...33162868...3795674252....433383414596....49550984711452
.18272.6056640.1825568436.568008109436.176569302110496.54960219182423136
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 8*a(n-1) -4*a(n-2)
k=2: a(n) = 22*a(n-1) -36*a(n-2) +16*a(n-3)
k=3: [order 8]
k=4: [order 14]
k=5: [order 34] for n>36
Empirical for row n:
n=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4)
n=2: [order 17]
n=3: [order 76] for n>77
EXAMPLE
Some solutions for n=2 k=4
..0..1..2..0..1....0..1..2..0..1....0..1..2..1..0....0..1..2..0..0
..0..0..1..2..1....0..0..2..0..2....1..0..2..0..2....0..0..2..2..1
..1..2..1..0..2....0..2..0..1..2....1..2..1..2..0....2..0..2..1..2
CROSSREFS
Column 1 is A102591
Sequence in context: A043063 A348384 A328466 * A008460 A132633 A372945
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 19 2013
STATUS
approved

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Last modified June 17 08:51 EDT 2024. Contains 373444 sequences. (Running on oeis4.)