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 A279657 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 11
 0, 1, 0, 0, 3, 0, 3, 27, 24, 0, 6, 254, 734, 232, 0, 24, 2301, 19986, 20448, 2232, 0, 72, 19053, 498424, 1546164, 549608, 20880, 0, 232, 149696, 11256083, 104452983, 113887852, 14309072, 190656, 0, 720, 1124969, 239891281, 6415919752 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0.......1..........0..............3..................6....................24 .0.......3.........27............254...............2301.................19053 .0......24........734..........19986.............498424..............11256083 .0.....232......20448........1546164..........104452983............6415919752 .0....2232.....549608......113887852........20868369045.........3484404510555 .0...20880...14309072.....8077041000......4019412007893......1824673552805793 .0..190656..362942080...556408163556....752482408442895....928920011450982106 .0.1707264.9010004672.37457887289336.137719420200247895.462385405050721564618 LINKS R. H. Hardin, Table of n, a(n) for n = 1..110 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: [order 6] for n>7 k=3: [order 9] for n>10 k=4: [order 24] for n>25 k=5: [order 42] for n>43 Empirical for row n: n=1: a(n) = 6*a(n-1) -6*a(n-2) -16*a(n-3) +12*a(n-4) +24*a(n-5) +8*a(n-6) for n>8 n=2: [order 13] n=3: [order 51] for n>53 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..1. .0..0..1..2. .0..0..0..1. .0..0..1..2. .0..1..0..2 ..2..1..1..0. .0..1..2..2. .0..2..2..0. .0..1..2..0. .2..1..1..0 ..1..0..1..2. .2..1..0..2. .0..0..2..1. .2..0..2..1. .1..2..0..0 CROSSREFS Row 1 is A279300. Sequence in context: A128252 A230675 A327673 * A272722 A229694 A033596 Adjacent sequences:  A279654 A279655 A279656 * A279658 A279659 A279660 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 16 2016 STATUS approved

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Last modified January 25 14:42 EST 2021. Contains 340416 sequences. (Running on oeis4.)