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 A224024 T(n,k)=Number of nXk 0..3 arrays with rows nondecreasing and antidiagonals unimodal 12
 4, 10, 16, 20, 100, 64, 35, 400, 1000, 256, 56, 1225, 6796, 10000, 1024, 84, 3136, 32523, 112436, 100000, 4096, 120, 7056, 122523, 772683, 1859020, 1000000, 16384, 165, 14400, 387729, 4002738, 17735200, 30756756, 10000000, 65536, 220, 27225, 1074167 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......4..........10............20..............35...............56 ......16.........100...........400............1225.............3136 ......64........1000..........6796...........32523...........122523 .....256.......10000........112436..........772683..........4002738 ....1024......100000.......1859020........17735200........120352359 ....4096.....1000000......30756756.......403836633.......3491241557 ...16384....10000000.....508916456......9186127249......99853876444 ...65536...100000000....8420768936....208983591829....2841637297963 ..262144..1000000000..139333478144...4754911670136...80738139650660 .1048576.10000000000.2305467501680.108190494364824.2292943314015674 LINKS R. H. Hardin, Table of n, a(n) for n = 1..364 FORMULA Empirical: columns k=1..7 have recurrences of order 1,1,7,10,19,25,41 Empirical: rows n=1..7 are polynomials of degree 3*n for k>0,0,1,2,3,4,5 EXAMPLE Some solutions for n=3 k=4 ..3..3..3..3....1..3..3..3....0..0..0..2....1..1..2..2....0..0..1..1 ..0..2..3..3....0..2..3..3....2..2..3..3....0..0..1..2....0..1..3..3 ..1..1..1..1....0..0..1..1....0..2..2..3....0..0..2..3....1..1..3..3 CROSSREFS Column 1 is A000302 Column 2 is A011557 Row 1 is A000292(n+1) Row 2 is A001249 Sequence in context: A265010 A223961 A224391 * A117111 A310508 A310509 Adjacent sequences:  A224021 A224022 A224023 * A224025 A224026 A224027 KEYWORD nonn,tabl AUTHOR R. H. Hardin Mar 30 2013 STATUS approved

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Last modified August 17 17:25 EDT 2019. Contains 326059 sequences. (Running on oeis4.)