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A231700
T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors
7
4, 4, 4, 16, 28, 16, 50, 272, 272, 50, 144, 1998, 5972, 1998, 144, 422, 13260, 115583, 115583, 13260, 422, 1268, 94996, 2049855, 6074096, 2049855, 94996, 1268, 3823, 691229, 37872601, 286808607, 286808607, 37872601, 691229, 3823, 11472, 4926082
OFFSET
1,1
COMMENTS
Table starts
.....4.........4............16................50....................144
.....4........28...........272..............1998..................13260
....16.......272..........5972............115583................2049855
....50......1998........115583...........6074096..............286808607
...144.....13260.......2049855.........286808607............34764511754
...422.....94996......37872601.......14007173906..........4333974317355
..1268....691229.....711067486......696904625544........556835183317668
..3823...4926082...13223846355....34390368202345......71067313709831125
.11472..35082734..245394073602..1693611631652448....9020067185976407959
.34350.251198534.4563802124823.83546478885400765.1146622410485781036080
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8
k=2: [order 22]
EXAMPLE
Some solutions for n=3 k=4
..1..0..0..3....2..1..1..2....0..0..0..0....0..3..0..2....0..0..0..0
..0..0..3..0....0..0..0..3....3..0..0..3....0..0..0..0....0..0..0..3
..1..3..0..0....0..0..0..2....0..0..0..1....2..0..0..1....2..0..1..3
CROSSREFS
Column 1 is A203094 for n>1
Sequence in context: A298730 A218181 A231586 * A231746 A275858 A241094
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 12 2013
STATUS
approved