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 A279327 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 6
 0, 0, 0, 2, 0, 2, 4, 16, 16, 4, 14, 152, 664, 152, 14, 40, 1536, 16092, 16092, 1536, 40, 120, 13776, 384180, 1079496, 384180, 13776, 120, 352, 118664, 8854880, 73482624, 73482624, 8854880, 118664, 352, 1032, 991616, 198179722, 4808164964 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ....0........0...........2..............4..............14...............40 ....0........0..........16............152............1536............13776 ....2.......16.........664..........16092..........384180..........8854880 ....4......152.......16092........1079496........73482624.......4808164964 ...14.....1536......384180.......73482624.....14012963052....2584102824124 ...40....13776.....8854880.....4808164964...2584102824124.1348916804333952 ..120...118664...198179722...306703795184.466109368455794 ..352...991616..4349449420.19222109104916 .1032..8109024.94030021118 .3008.65252928 LINKS R. H. Hardin, Table of n, a(n) for n = 1..71 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>5 k=2: [order 10] k=3: [order 34] for n>35 EXAMPLE Some solutions for n=3 k=4 ..0..0..1..0. .0..1..2..0. .0..1..2..1. .0..1..0..1. .0..1..2..0 ..0..1..2..1. .0..0..2..1. .2..2..0..0. .0..2..1..2. .1..2..0..0 ..2..2..0..1. .2..1..1..2. .1..2..1..0. .1..0..1..1. .0..2..2..1 CROSSREFS Sequence in context: A079550 A226430 A067648 * A052438 A324045 A209701 Adjacent sequences:  A279324 A279325 A279326 * A279328 A279329 A279330 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 09 2016 STATUS approved

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Last modified September 20 05:34 EDT 2021. Contains 347577 sequences. (Running on oeis4.)