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 A280217 T(n,k)=Number of nXk 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. 6
 0, 1, 1, 0, 2, 0, 6, 26, 26, 6, 6, 92, 158, 92, 6, 30, 307, 886, 886, 307, 30, 54, 1072, 4382, 7048, 4382, 1072, 54, 158, 3541, 20593, 49328, 49328, 20593, 3541, 158, 342, 11834, 93326, 320755, 474433, 320755, 93326, 11834, 342, 846, 38687, 410789, 2001079 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ...0......1.......0.........6..........6.........30.........54........158 ...1......2......26........92........307.......1072.......3541......11834 ...0.....26.....158.......886.......4382......20593......93326.....410789 ...6.....92.....886......7048......49328.....320755....2001079...12072893 ...6....307....4382.....49328.....474433....4245153...36290440..298709773 ..30...1072...20593....320755....4245153...51995541..607401930.6826834071 ..54...3541...93326...2001079...36290440..607401930.9673911703 .158..11834..410789..12072893..298709773.6826834071 .342..38687.1768582..71202942.2400798535 .846.125380.7492763.412532945 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: 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) k=2: [order 10] for n>14 k=3: [order 21] for n>28 k=4: [order 42] for n>51 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..1. .0..1..1..1. .0..0..0..1. .0..0..1..1. .0..0..0..0 ..0..0..0..2. .0..1..1..0. .2..2..1..1. .0..0..1..1. .1..1..0..1 ..0..0..2..2. .0..0..2..0. .2..2..1..1. .1..1..0..0. .1..0..0..1 ..0..0..2..2. .0..0..0..0. .2..2..0..0. .1..1..0..0. .0..0..1..1 CROSSREFS Column 1 is A279865. Sequence in context: A247443 A171734 A278746 * A079203 A151751 A196354 Adjacent sequences:  A280214 A280215 A280216 * A280218 A280219 A280220 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 29 2016 STATUS approved

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Last modified November 25 14:33 EST 2020. Contains 338624 sequences. (Running on oeis4.)