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 A207981 T(n,k)=Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any diagonal or antidiagonal neighbor (colorings ignoring permutations of colors). 6
 1, 2, 2, 5, 7, 5, 15, 67, 67, 15, 52, 1080, 4192, 1080, 52, 203, 25287, 587208, 587208, 25287, 203, 877, 794545, 147512732, 953124784, 147512732, 794545, 877, 4140, 31858034, 58668937932, 3410310590912, 3410310590912, 58668937932, 31858034 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..496 (terms 1..40 from R. H. Hardin). EXAMPLE Table starts ....1........2...........5............15............52...............203 ....2........7..........67..........1080.........25287............794545 ....5.......67........4192........587208.....147512732.......58668937932 ...15.....1080......587208.....953124784.3410310590912.22727131144960768 ...52....25287...147512732.3410310590912 ..203...794545.58668937932 ..877.31858034 .4140 ... Some solutions for n=4 k=3 ..0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....0..0..0....0..0..0 ..1..1..1....1..2..1....1..1..1....1..1..1....2..1..0....1..2..1....1..1..1 ..2..0..2....1..2..0....0..0..2....0..0..0....0..1..3....0..0..0....2..2..0 ..1..0..1....0..2..0....1..1..1....1..1..1....0..4..0....2..1..1....0..1..0 CROSSREFS Columns 1..4 are A000110, A207978, A207979, A207980. Main diagonal is A361452. Cf. A207868. Sequence in context: A136536 A023507 A095674 * A058123 A035586 A216392 Adjacent sequences: A207978 A207979 A207980 * A207982 A207983 A207984 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 22 2012 STATUS approved

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Last modified December 3 08:55 EST 2023. Contains 367531 sequences. (Running on oeis4.)