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 A228390 T(n,k)=Number of nXk binary arrays with top left value 1 and no two ones adjacent horizontally or vertically. 11
 1, 1, 1, 2, 2, 2, 3, 5, 5, 3, 5, 12, 21, 12, 5, 8, 29, 72, 72, 29, 8, 13, 70, 268, 382, 268, 70, 13, 21, 169, 963, 2104, 2104, 963, 169, 21, 34, 408, 3513, 11449, 17578, 11449, 3513, 408, 34, 55, 985, 12732, 62546, 143072, 143072, 62546, 12732, 985, 55, 89, 2378 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ..1...1.....2.......3........5..........8...........13............21 ..1...2.....5......12.......29.........70..........169...........408 ..2...5....21......72......268........963.........3513.........12732 ..3..12....72.....382.....2104......11449........62546........341249 ..5..29...268....2104....17578.....143072......1177709.......9646285 ..8..70...963...11449...143072....1755243.....21683149.....267157140 .13.169..3513...62546..1177709...21683149....402968942....7458864720 .21.408.12732..341249..9646285..267157140...7458864720..207573951234 .34.985.46274.1862631.79185086.3294926929.138305554175.5784184947686 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1860 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 2*a(n-1) +a(n-2) k=3: a(n) = 2*a(n-1) +6*a(n-2) -a(n-4) k=4: a(n) = 4*a(n-1) +9*a(n-2) -5*a(n-3) -4*a(n-4) +a(n-5) k=5: [order 9] k=6: [order 11] k=7: [order 21] EXAMPLE Some solutions for n=4 k=4 ..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0 ..0..0..0..1....0..0..0..0....0..0..0..1....0..1..0..1....0..0..0..0 ..1..0..1..0....0..0..0..0....1..0..0..0....0..0..1..0....1..0..0..0 ..0..1..0..0....0..1..0..1....0..1..0..1....0..0..0..0....0..0..0..1 CROSSREFS Column 1 is A000045 Column 2 is A000129 Sequence in context: A322261 A304718 A036355 * A309256 A095972 A091974 Adjacent sequences:  A228387 A228388 A228389 * A228391 A228392 A228393 KEYWORD nonn,tabl AUTHOR R. H. Hardin Aug 21 2013 STATUS approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)