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 A267245 T(n,k)=Number of nXk binary arrays with row sums nondecreasing and columns lexicographically nondecreasing. 12
 2, 3, 3, 4, 7, 4, 5, 13, 15, 5, 6, 22, 42, 31, 6, 7, 34, 105, 141, 63, 7, 8, 50, 232, 567, 486, 127, 8, 9, 70, 475, 1986, 3351, 1685, 255, 9, 10, 95, 904, 6292, 20040, 20676, 5804, 511, 10, 11, 125, 1632, 18205, 107015, 220235, 129129, 19769, 1023, 11, 12, 161, 2806 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....3......4........5..........6............7..............8 ..3....7.....13.......22.........34...........50.............70 ..4...15.....42......105........232..........475............904 ..5...31....141......567.......1986.........6292..........18205 ..6...63....486.....3351......20040.......107015.........516084 ..7..127...1685....20676.....220235......2093467.......17892539 ..8..255...5804...129129....2499080.....43555569......683027146 ..9..511..19769...804817...28501471....924051709....27044976947 .10.1023..66544..4982759..323067002..19614050515..1079112886476 .11.2047.221581.30629206.3626695952.413556580944.42860145907558 LINKS R. H. Hardin, Table of n, a(n) for n = 1..216 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) -a(n-2) k=2: a(n) = 3*a(n-1) -2*a(n-2) k=3: a(n) = 10*a(n-1) -39*a(n-2) +76*a(n-3) -79*a(n-4) +42*a(n-5) -9*a(n-6) k=4: [order 10] k=5: [order 14] k=6: [order 22] k=7: [order 32] Empirical for row n: n=1: a(n) = 2*a(n-1) -a(n-2) n=2: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-3) +3*a(n-4) -a(n-5) n=3: [order 13] EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1....0..0..0..1....0..0..1..1....0..0..1..1....0..0..1..1 ..0..1..1..1....0..1..1..0....0..1..0..1....1..1..0..0....1..1..0..0 ..1..0..1..1....0..0..1..1....1..1..0..0....1..1..0..1....1..1..0..0 ..1..1..0..1....1..0..1..0....1..1..0..0....1..1..1..0....1..1..0..0 CROSSREFS Column 1 and row 1 are A000027(n+1). Column 2 is A000225(n+1). Row 2 is A002623. Row 3 is A233302(n-1). Row 4 is A233303(n-1). Sequence in context: A241956 A227125 A248944 * A266428 A180985 A227385 Adjacent sequences:  A267242 A267243 A267244 * A267246 A267247 A267248 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 12 2016 STATUS approved

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Last modified August 7 11:34 EDT 2020. Contains 336275 sequences. (Running on oeis4.)