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 A208581 T(n,k)=Number of nXk nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors 11
 1, 2, 2, 5, 12, 5, 15, 152, 159, 15, 52, 3024, 15215, 3233, 52, 203, 84124, 2946848, 3012383, 90863, 203, 877, 3057664, 960563033, 7289707650, 992352688, 3319375, 877, 4140, 139056380, 474608323506, 35787552851324, 36182978136598 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1..........2...............5.................15..................52 ....2.........12.............152...............3024...............84124 ....5........159...........15215............2946848...........960563033 ...15.......3233.........3012383.........7289707650......35787552851324 ...52......90863.......992352688.....36182978136598.3233126493451564482 ..203....3319375....493060277544.314946169382603268 ..877..151329962.346279494967526 .4140.8361244271 LINKS R. H. Hardin, Table of n, a(n) for n = 1..48 EXAMPLE Some solutions for n=4 k=3 ..0..1..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1 ..1..0..1....1..1..0....1..1..0....1..1..0....1..1..2....1..1..0....1..0..0 ..0..1..2....0..2..0....2..0..1....0..1..0....2..1..0....2..0..1....0..1..0 ..1..2..0....0..1..0....1..0..2....0..1..0....0..1..0....0..1..0....0..1..0 CROSSREFS Column 1 and row 1 are A000110 Sequence in context: A286465 A208258 A208872 * A233357 A248664 A143195 Adjacent sequences:  A208578 A208579 A208580 * A208582 A208583 A208584 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 29 2012 STATUS approved

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Last modified December 8 20:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)