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 A207068 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically 12
 2, 4, 4, 6, 16, 6, 9, 36, 36, 8, 14, 81, 102, 64, 10, 21, 196, 288, 216, 100, 12, 31, 441, 896, 720, 390, 144, 14, 46, 961, 2499, 2688, 1485, 636, 196, 16, 68, 2116, 6634, 8799, 6398, 2709, 966, 256, 18, 100, 4624, 17848, 27063, 23856, 13132, 4536, 1392, 324, 20, 147 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...4....6....9....14.....21.....31......46.......68......100.......147 ..4..16...36...81...196....441....961....2116.....4624....10000.....21609 ..6..36..102..288...896...2499...6634...17848....47192...122200....315315 ..8..64..216..720..2688...8799..27063...84502...257584...762900...2246895 .10.100..390.1485..6398..23856..82739..291364...997288..3297100..10818024 .12.144..636.2709.13132..54684.210118..818892..3093184.11234900..40417797 .14.196..966.4536.24304.111426.468348.1992996..8204200.32364700.126207438 .16.256.1392.7128.41664.208026.947298.4356936.19360144.82226100.344542569 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1404 FORMULA Empirical for column k: k=1: a(n) = 2*n k=2: a(n) = 4*n^2 k=3: a(n) = 2*n^3 + 6*n^2 - 2*n k=4: a(n) = (3/4)*n^4 + (15/2)*n^3 + (15/4)*n^2 - 3*n k=5: a(n) = (7/30)*n^5 + 7*n^4 + (21/2)*n^3 - (56/15)*n k=6: a(n) = (7/120)*n^6 + (147/40)*n^5 + (49/3)*n^4 + (91/8)*n^3 - (707/120)*n^2 - (91/20)*n k=7: a(n) = (31/2520)*n^7 + (62/45)*n^6 + (4867/360)*n^5 + (2015/72)*n^4 + (1271/180)*n^3 - (4991/360)*n^2 - (713/140)*n EXAMPLE Some solutions for n=4 k=3 ..0..1..1....1..1..1....0..1..1....0..0..0....0..1..1....0..0..0....1..0..0 ..1..1..0....1..1..0....1..0..0....1..0..0....0..1..1....0..1..1....0..0..0 ..1..1..0....1..0..0....1..0..0....0..0..0....0..1..1....0..0..0....0..0..0 ..1..0..0....1..0..0....1..0..0....0..0..0....0..1..1....0..0..0....0..0..0 CROSSREFS Column 2 is A016742 Column 3 is A086113 Row 1 is A038718(n+2) Sequence in context: A207305 A207391 A207938 * A209650 A207599 A207703 Adjacent sequences:  A207065 A207066 A207067 * A207069 A207070 A207071 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 14 2012 STATUS approved

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Last modified November 27 01:16 EST 2021. Contains 349344 sequences. (Running on oeis4.)