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 A281888 T(n,k)=Number of nXk 0..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 6

%I

%S 0,0,0,0,0,0,0,0,0,0,0,0,68,0,0,0,0,638,638,0,0,0,0,4832,9284,4832,0,

%T 0,0,0,35002,112320,112320,35002,0,0,0,0,241209,1282388,2156646,

%U 1282388,241209,0,0,0,0,1612568,13907664,38763782,38763782,13907664,1612568,0,0

%N T(n,k)=Number of nXk 0..1 arrays with no element equal to more than four 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

%C .0.0........0...........0.............0...............0.................0

%C .0.0.......68.........638..........4832...........35002............241209

%C .0.0......638........9284........112320.........1282388..........13907664

%C .0.0.....4832......112320.......2156646........38763782.........663476572

%C .0.0....35002.....1282388......38763782......1091754188.......29340232714

%C .0.0...241209....13907664.....663476572.....29340232714.....1239784258612

%C .0.0..1612568...146131060...10998070526....763669110112....50762954675186

%C .0.0.10566034..1503637694..178432948526..19447316121332..2032908127837419

%C .0.0.68136376.15223224224.2848000336302.487171820681716.80080573259154704

%H R. H. Hardin, <a href="/A281888/b281888.txt">Table of n, a(n) for n = 1..179</a>

%F Empirical for column k:

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

%F k=2: a(n) = a(n-1)

%F k=3: [order 14] for n>17

%F k=4: [order 46] for n>49

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,13

%A _R. H. Hardin_, Feb 01 2017

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Last modified May 18 23:31 EDT 2022. Contains 353826 sequences. (Running on oeis4.)