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 A207024 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically 12
 2, 4, 4, 6, 16, 6, 9, 36, 36, 8, 13, 81, 90, 64, 10, 18, 169, 252, 168, 100, 12, 25, 324, 624, 558, 270, 144, 14, 34, 625, 1350, 1586, 1035, 396, 196, 16, 46, 1156, 3025, 3726, 3315, 1719, 546, 256, 18, 62, 2116, 6256, 9450, 8280, 6123, 2646, 720, 324, 20, 83, 3844 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...4...6....9....13....18.....25.....34......46......62.......83......111 ..4..16..36...81...169...324....625...1156....2116....3844.....6889....12321 ..6..36..90..252...624..1350...3025...6256...12788...25792....50630....99012 ..8..64.168..558..1586..3726...9450..21318...47518..104470...220531...464202 .10.100.270.1035..3315..8280..23400..56814..136114..322834...725005..1627260 .12.144.396.1719..6123.16038..49925.129302..329498..836938..1984447..4716834 .14.196.546.2646.10374.28224..95900.263228..707756.1914436..4765030.11929281 .16.256.720.3852.16484.46260.170300.492932.1389476.3984244.10362550.27202659 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1984 FORMULA Empirical for column k: k=1: a(n) = 2*n k=2: a(n) = 4*n^2 k=3: a(n) = 12*n^2 - 6*n k=4: a(n) = 6*n^3 + (27/2)*n^2 - (21/2)*n k=5: a(n) = (13/6)*n^4 + 13*n^3 + (52/3)*n^2 - (39/2)*n k=6: a(n) = (33/4)*n^4 + (45/2)*n^3 + (75/4)*n^2 - (63/2)*n k=7: a(n) = (55/24)*n^5 + (75/4)*n^4 + (275/8)*n^3 + (75/4)*n^2 - (295/6)*n EXAMPLE Some solutions for n=4 k=3 ..1..0..0....0..1..0....0..0..1....1..0..1....0..0..1....1..1..0....1..1..1 ..1..0..0....1..1..0....1..1..1....0..0..1....0..0..1....1..0..1....1..1..1 ..1..0..0....1..1..0....0..0..1....0..0..1....0..0..1....1..0..1....0..1..0 ..1..0..0....1..0..0....0..0..1....0..0..1....0..0..1....0..0..1....0..1..0 CROSSREFS Column 2 is A016742 Column 3 is A152746 Row 1 is A171861(n+1) Sequence in context: A207254 A207403 A208142 * A207169 A207111 A207305 Adjacent sequences:  A207021 A207022 A207023 * A207025 A207026 A207027 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 14 2012 STATUS approved

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Last modified May 19 12:20 EDT 2022. Contains 353833 sequences. (Running on oeis4.)