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 A239178 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors 16
 6, 26, 12, 98, 82, 36, 378, 514, 676, 96, 1512, 3358, 9604, 4338, 264, 6018, 22396, 142884, 130890, 29380, 720, 23890, 148820, 2286144, 4140964, 1876940, 196698, 1968, 94846, 990458, 36216324, 141857204, 127574544, 26726740, 1321986, 5376 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....6......26.........98...........378.............1512................6018 ...12......82........514..........3358............22396..............148820 ...36.....676.......9604........142884..........2286144............36216324 ...96....4338.....130890.......4140964........141857204..........4845741276 ..264...29380....1876940.....127574544.......9704723126........733415243746 ..720..196698...26726740....3901908720.....652274371446.....108383467365104 .1968.1321986..381984614..119751372066...44086966064930...16126266923705212 .5376.8867938.5442841504.3664449484670.2970697967221324.2391741572658733884 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) k=2: [order 19] k=3: [order 67] Empirical for row n: n=1: a(n) = 4*a(n-1) -a(n-2) +3*a(n-3) +3*a(n-4) -4*a(n-5) +a(n-6) n=2: [order 31] n=3: [order 21] EXAMPLE Some solutions for n=3 k=4 ..0..0..0..2..2....0..1..2..2..2....2..2..1..1..0....1..1..0..1..1 ..2..2..2..1..1....2..2..1..1..1....0..0..0..2..2....0..2..2..2..0 ..2..2..2..0..0....2..2..2..2..2....0..0..1..2..2....0..0..0..0..0 ..0..0..0..1..1....1..1..0..0..0....2..2..2..0..0....2..2..2..1..1 CROSSREFS Sequence in context: A329819 A337400 A036175 * A154869 A043354 A023727 Adjacent sequences:  A239175 A239176 A239177 * A239179 A239180 A239181 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 11 2014 STATUS approved

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Last modified June 27 13:59 EDT 2022. Contains 354896 sequences. (Running on oeis4.)