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 A283282 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors. 8
 2, 4, 4, 8, 15, 8, 16, 50, 50, 16, 32, 176, 287, 176, 32, 64, 614, 1725, 1725, 614, 64, 128, 2141, 10299, 18320, 10299, 2141, 128, 256, 7472, 61491, 191025, 191025, 61491, 7472, 256, 512, 26070, 367208, 1994338, 3455416, 1994338, 367208, 26070, 512, 1024 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2.....4........8.........16...........32.............64...............128 ...4....15.......50........176..........614...........2141..............7472 ...8....50......287.......1725........10299..........61491............367208 ..16...176.....1725......18320.......191025........1994338..........20834848 ..32...614....10299.....191025......3455416.......62640737........1136604611 ..64..2141....61491....1994338.....62640737.....1974531630.......62300912853 .128..7472...367208...20834848...1136604611....62300912853.....3418770498783 .256.26070..2192810..217606715..20614698223..1964591851309...187461194033545 .512.90964.13094522.2272854285.373922480489.61959879789835.10281169933978992 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) +a(n-2) +3*a(n-3) -2*a(n-4) +a(n-5) -2*a(n-6) +a(n-7) -a(n-8) k=3: [order 12] k=4: [order 19] k=5: [order 69] EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1. .0..1..0..0. .0..1..0..1. .1..1..0..0. .0..0..1..0 ..0..0..1..0. .1..0..1..0. .0..0..0..1. .0..1..0..1. .1..0..1..0 ..0..0..0..1. .0..0..0..0. .1..0..0..1. .0..0..1..0. .0..0..1..0 ..1..0..0..1. .1..0..1..0. .0..0..0..1. .1..1..0..1. .0..1..0..0 CROSSREFS Column 1 is A000079. Sequence in context: A225982 A282528 A297094 * A181253 A267788 A189696 Adjacent sequences:  A283279 A283280 A283281 * A283283 A283284 A283285 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 04 2017 STATUS approved

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Last modified July 26 01:49 EDT 2021. Contains 346294 sequences. (Running on oeis4.)