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%I #6 Apr 21 2021 11:43:49
%S 0,1,1,0,2,0,6,26,26,6,6,92,158,92,6,30,307,886,886,307,30,54,1072,
%T 4382,7048,4382,1072,54,158,3541,20593,49328,49328,20593,3541,158,342,
%U 11834,93326,320755,474433,320755,93326,11834,342,846,38687,410789,2001079
%N T(n,k) = Number of n X k 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
%C Table starts
%C ...0......1.......0.........6..........6.........30.........54........158
%C ...1......2......26........92........307.......1072.......3541......11834
%C ...0.....26.....158.......886.......4382......20593......93326.....410789
%C ...6.....92.....886......7048......49328.....320755....2001079...12072893
%C ...6....307....4382.....49328.....474433....4245153...36290440..298709773
%C ..30...1072...20593....320755....4245153...51995541..607401930.6826834071
%C ..54...3541...93326...2001079...36290440..607401930.9673911703
%C .158..11834..410789..12072893..298709773.6826834071
%C .342..38687.1768582..71202942.2400798535
%C .846.125380.7492763.412532945
%H R. H. Hardin, <a href="/A280217/b280217.txt">Table of n, a(n) for n = 1..97</a>
%F Empirical for column k:
%F k=1: a(n) = 3*a(n-1) +3*a(n-2) -11*a(n-3) -6*a(n-4) +12*a(n-5) +8*a(n-6);
%F k=2: [order 10] for n>14;
%F k=3: [order 21] for n>28;
%F k=4: [order 42] for n>51.
%e Some solutions for n=4, k=4
%e ..0..1..0..1. .0..1..1..1. .0..0..0..1. .0..0..1..1. .0..0..0..0
%e ..0..0..0..2. .0..1..1..0. .2..2..1..1. .0..0..1..1. .1..1..0..1
%e ..0..0..2..2. .0..0..2..0. .2..2..1..1. .1..1..0..0. .1..0..0..1
%e ..0..0..2..2. .0..0..0..0. .2..2..0..0. .1..1..0..0. .0..0..1..1
%Y Column 1 is A279865.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Dec 29 2016
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