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A281034 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 7
0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 12, 96, 12, 0, 0, 58, 532, 532, 58, 0, 0, 252, 2321, 2324, 2321, 252, 0, 0, 1048, 8886, 9854, 9854, 8886, 1048, 0, 0, 4204, 31700, 38972, 44395, 38972, 31700, 4204, 0, 0, 16454, 108034, 146606, 184290, 184290, 146606, 108034, 16454, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.0.....0.......0.......0........0.........0.........0..........0..........0
.0.....0.......2......12.......58.......252......1048.......4204......16454
.0.....2......96.....532.....2321......8886.....31700.....108034.....357542
.0....12.....532....2324.....9854.....38972....146606.....533340....1896352
.0....58....2321....9854....44395....184290....722952....2696692....9734320
.0...252....8886...38972...184290....770788...3042556...11471132...41949794
.0..1048...31700..146606...722952...3042556..12164474...46511454..172759149
.0..4204..108034..533340..2696692..11471132..46511454..180119924..677915790
.0.16454..357542.1896352..9734320..41949794.172759149..677915790.2586759715
.0.63236.1158596.6625144.34378916.150344672.628675456.2501817200.9677601094
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 10]
k=3: [order 18] for n>21
k=4: [order 36] for n>41
k=5: [order 98] for n>109
EXAMPLE
Some solutions for n=4 k=4
..0..1..0..1. .0..0..0..0. .0..0..0..1. .0..1..1..0. .0..0..1..1
..0..1..0..1. .1..1..1..1. .0..1..0..0. .1..1..0..1. .1..0..0..1
..0..0..0..1. .0..1..0..0. .0..1..1..1. .0..0..0..1. .1..1..1..0
..0..1..0..1. .0..1..0..0. .1..0..0..0. .0..1..1..0. .1..0..0..0
CROSSREFS
Sequence in context: A352661 A283494 A353254 * A282441 A281988 A190389
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 13 2017
STATUS
approved

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Last modified July 13 23:31 EDT 2024. Contains 374290 sequences. (Running on oeis4.)