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 A279805 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 5
 0, 0, 0, 2, 2, 2, 4, 22, 22, 4, 14, 196, 740, 196, 14, 40, 1848, 19376, 19376, 1848, 40, 120, 16720, 507986, 1476500, 507986, 16720, 120, 352, 149392, 12910722, 110514378, 110514378, 12910722, 149392, 352, 1032, 1317720, 323712032, 8028037200 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ....0........0............2..............4..............14...............40 ....0........2...........22............196............1848............16720 ....2.......22..........740..........19376..........507986.........12910722 ....4......196........19376........1476500.......110514378.......8028037200 ...14.....1848.......507986......110514378.....23500346624....4849917013896 ...40....16720.....12910722.....8028037200...4849917013896.2840019147221278 ..120...149392....323712032...573336320344.982389352238899 ..352..1317720...8013623436.40364489132724 .1032.11508016.196400852184 .3008.99674848 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 12] k=3: [order 36] for n>37 EXAMPLE Some solutions for n=3 k=4 ..0..0..1..1. .0..1..2..1. .0..1..2..2. .0..0..1..2. .0..1..0..0 ..2..2..2..1. .1..1..1..0. .0..1..1..0. .2..1..2..2. .2..2..2..0 ..1..0..1..2. .0..2..0..0. .0..1..1..0. .2..1..0..1. .1..2..1..2 CROSSREFS Column 1 is A279322. Sequence in context: A107902 A142974 A259856 * A123914 A285441 A088885 Adjacent sequences:  A279802 A279803 A279804 * A279806 A279807 A279808 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 19 2016 STATUS approved

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Last modified July 26 20:32 EDT 2021. Contains 346295 sequences. (Running on oeis4.)