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 A283543 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 12
 2, 4, 4, 7, 11, 8, 13, 27, 33, 16, 24, 76, 127, 98, 32, 44, 201, 578, 573, 291, 64, 81, 537, 2369, 4089, 2615, 865, 128, 149, 1444, 10069, 25532, 29558, 11903, 2570, 256, 274, 3859, 42664, 167920, 282773, 212441, 54211, 7637, 512, 504, 10339, 179733, 1094959 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....4.......7........13..........24............44..............81 ....4....11......27........76.........201...........537............1444 ....8....33.....127.......578........2369.........10069...........42664 ...16....98.....573......4089.......25532........167920.........1094959 ...32...291....2615.....29558......282773.......2905717........29377334 ...64...865...11903....212441.....3109801......49760703.......778500603 ..128..2570...54211...1529463....34266804.....854841910.....20707472573 ..256..7637..246869..11006233...377393657...14672363665....550220030803 ..512.22693.1124239..79212552..4156954825..251901309671..14624495679716 .1024.67432.5119755.570077446.45786939720.4324419947902.388675661283840 LINKS R. H. Hardin, Table of n, a(n) for n = 1..313 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +3*a(n-2) -a(n-4) k=3: a(n) = 5*a(n-1) -a(n-2) -7*a(n-3) +10*a(n-4) +4*a(n-5) -8*a(n-6) k=4: [order 8] k=5: [order 21] k=6: [order 27] k=7: [order 59] Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) +a(n-3) n=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) n=3: a(n) = 2*a(n-1) +7*a(n-2) +11*a(n-3) -6*a(n-4) +11*a(n-5) -2*a(n-6) n=4: [order 8] n=5: [order 21] n=6: [order 32] n=7: [order 69] EXAMPLE Some solutions for n=4 k=4 ..1..1..0..0. .0..1..0..0. .1..0..0..0. .0..0..1..0. .0..1..0..0 ..0..0..0..1. .0..0..1..0. .1..0..0..1. .1..0..0..1. .0..1..0..0 ..0..0..0..1. .1..0..0..0. .1..0..0..0. .1..0..0..1. .1..0..0..1 ..0..0..0..0. .1..0..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..1 CROSSREFS Column 1 is A000079. Column 2 is A282990. Row 1 is A000073(n+3). Row 2 is A282641. Sequence in context: A295253 A295652 A269075 * A297682 A297607 A223770 Adjacent sequences: A283540 A283541 A283542 * A283544 A283545 A283546 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 10 2017 STATUS approved

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Last modified May 27 07:52 EDT 2024. Contains 372850 sequences. (Running on oeis4.)