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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

%I #4 Jan 13 2017 07:22:26

%S 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,

%T 2321,252,0,0,1048,8886,9854,9854,8886,1048,0,0,4204,31700,38972,

%U 44395,38972,31700,4204,0,0,16454,108034,146606,184290,184290,146606,108034,16454,0

%N 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.

%C Table starts

%C .0.....0.......0.......0........0.........0.........0..........0..........0

%C .0.....0.......2......12.......58.......252......1048.......4204......16454

%C .0.....2......96.....532.....2321......8886.....31700.....108034.....357542

%C .0....12.....532....2324.....9854.....38972....146606.....533340....1896352

%C .0....58....2321....9854....44395....184290....722952....2696692....9734320

%C .0...252....8886...38972...184290....770788...3042556...11471132...41949794

%C .0..1048...31700..146606...722952...3042556..12164474...46511454..172759149

%C .0..4204..108034..533340..2696692..11471132..46511454..180119924..677915790

%C .0.16454..357542.1896352..9734320..41949794.172759149..677915790.2586759715

%C .0.63236.1158596.6625144.34378916.150344672.628675456.2501817200.9677601094

%H R. H. Hardin, <a href="/A281034/b281034.txt">Table of n, a(n) for n = 1..241</a>

%F Empirical for column k:

%F k=1: a(n) = a(n-1)

%F k=2: [order 10]

%F k=3: [order 18] for n>21

%F k=4: [order 36] for n>41

%F k=5: [order 98] for n>109

%e Some solutions for n=4 k=4

%e ..0..1..0..1. .0..0..0..0. .0..0..0..1. .0..1..1..0. .0..0..1..1

%e ..0..1..0..1. .1..1..1..1. .0..1..0..0. .1..1..0..1. .1..0..0..1

%e ..0..0..0..1. .0..1..0..0. .0..1..1..1. .0..0..0..1. .1..1..1..0

%e ..0..1..0..1. .0..1..0..0. .1..0..0..0. .0..1..1..0. .1..0..0..0

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_, Jan 13 2017

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Last modified August 5 06:29 EDT 2024. Contains 374935 sequences. (Running on oeis4.)