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 A281129 T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 6
 0, 0, 0, 1, 2, 1, 2, 28, 28, 2, 8, 208, 574, 208, 8, 28, 1364, 5590, 5590, 1364, 28, 94, 8354, 48828, 75668, 48828, 8354, 94, 304, 48992, 394202, 923678, 923678, 394202, 48992, 304, 960, 278966, 3042893, 10441416, 15835126, 10441416, 3042893, 278966, 960 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ....0.......0..........1............2............8............28............94 ....0.......2.........28..........208.........1364..........8354.........48992 ....1......28........574.........5590........48828........394202.......3042893 ....2.....208.......5590........75668.......923678......10441416.....112649322 ....8....1364......48828.......923678.....15835126.....250872018....3803844412 ...28....8354.....394202.....10441416....250872018....5550177494..117185694820 ...94...48992....3042893....112649322...3803844412..117185694820.3459450309336 ..304..278966...22772368...1178277478..55967077710.2402634147622 ..960.1554744..166675727..12052427112.805490418258 .2976.8524848.1199580226.121217893114 LINKS R. H. Hardin, Table of n, a(n) for n = 1..97 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>7 k=2: a(n) = 8*a(n-1) -8*a(n-2) -30*a(n-3) -24*a(n-4) -8*a(n-5) -a(n-6) k=3: [order 23] for n>30 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..0. .0..1..1..2. .0..0..1..2. .0..1..0..0. .0..0..1..2 ..0..2..2..1. .0..2..2..1. .1..2..0..2. .0..2..1..2. .2..2..0..1 ..1..0..1..0. .1..1..0..2. .0..2..0..1. .1..1..0..1. .0..1..2..2 ..2..2..1..0. .2..2..1..1. .1..0..1..2. .0..2..0..2. .2..1..0..2 CROSSREFS Column 1 is A280279. Sequence in context: A228690 A121721 A173476 * A136156 A191657 A155796 Adjacent sequences: A281126 A281127 A281128 * A281130 A281131 A281132 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 15 2017 STATUS approved

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Last modified June 4 09:19 EDT 2023. Contains 363121 sequences. (Running on oeis4.)