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 A224146 T(n,k)=Number of nXk 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing 12
 2, 4, 3, 7, 9, 4, 11, 22, 16, 5, 16, 46, 49, 25, 6, 22, 86, 124, 92, 36, 7, 29, 148, 275, 272, 155, 49, 8, 37, 239, 554, 691, 526, 242, 64, 9, 46, 367, 1037, 1573, 1509, 930, 357, 81, 10, 56, 541, 1831, 3296, 3827, 2985, 1536, 504, 100, 11, 67, 771, 3082, 6472, 8838 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...4...7...11....16....22.....29......37......46......56.......67.......79 ..3...9..22...46....86...148....239.....367.....541.....771.....1068.....1444 ..4..16..49..124...275...554...1037....1831....3082....4984.....7789....11818 ..5..25..92..272...691..1573...3296....6472...12058...21506....36961....61517 ..6..36.155..526..1509..3827...8838...18969...38392...74053...137204...245636 ..7..49.242..930..2985..8375..21183...49365..107697..222603...439909...837071 ..8..64.357.1536..5471.16885..46586..117510..275557..608423..1277544..2571226 ..9..81.504.2404..9431.31841..95455..259927..653980.1540542..3433254..7299542 .10.100.687.3602.15457.56783.184222..539980.1454873.3651978..8632537.19383022 .11.121.910.5206.24285.96579.337727.1062305.3058144.8167578.20458857.48492125 LINKS R. H. Hardin, Table of n, a(n) for n = 1..925 FORMULA Empirical: columns k=1..7 are polynomials of degree k for n>0,0,0,1,2,3,4 Empirical: rows n=1..7 are polynomials of degree 2*n EXAMPLE Some solutions for n=3 k=4 ..0..0..0..0....0..0..0..0....0..0..0..0....1..1..0..0....0..0..0..0 ..1..1..0..0....0..1..0..0....0..1..1..0....1..1..0..0....0..0..0..1 ..1..1..1..1....0..1..1..1....0..1..1..0....1..1..1..0....1..1..1..1 CROSSREFS Column 1 is A000027(n+1) Column 2 is A000290(n+1) Row 1 is A000124 Row 2 is A223718 Sequence in context: A127002 A027634 A223838 * A225010 A235494 A292960 Adjacent sequences:  A224143 A224144 A224145 * A224147 A224148 A224149 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 31 2013 STATUS approved

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Last modified May 28 13:05 EDT 2022. Contains 354115 sequences. (Running on oeis4.)