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A284075 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. 12
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 15, 0, 0, 0, 33, 275, 314, 0, 0, 0, 176, 3174, 7302, 3764, 0, 0, 0, 858, 31898, 147864, 151310, 37557, 0, 0, 0, 4000, 300008, 2696970, 5555954, 2816826, 353608, 0, 0, 0, 18298, 2695374, 45973823, 189363893, 188451507 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,12
COMMENTS
Table starts
.0.0......0........0..........0............0..............0................0
.0.0......1........6.........33..........176............858.............4000
.0.0.....15......275.......3174........31898.........300008..........2695374
.0.0....314.....7302.....147864......2696970.......45973823........754541156
.0.0...3764...151310....5555954....189363893.....5950703039.....179626388248
.0.0..37557..2816826..188451507..11888242488...690497721277...38373427448124
.0.0.353608.48994058.6011835223.700044712076.74965549398304.7663959789277668
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1)
k=3: [order 24]
k=4: [order 51]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: [order 12]
n=3: [order 42]
n=4: [order 84]
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..1. .0..1..0..1. .0..1..1..0. .0..0..0..0. .1..1..0..1
..1..0..1..0. .1..1..1..0. .0..0..0..0. .0..1..1..1. .1..1..1..0
..0..1..1..1. .0..1..1..0. .0..1..1..1. .1..1..0..1. .1..1..0..0
..1..0..0..0. .1..0..0..0. .0..1..1..1. .1..0..1..1. .0..1..0..1
CROSSREFS
Sequence in context: A364530 A263695 A158965 * A281693 A013314 A328339
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 19 2017
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)