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 A224281 T(n,k)=Number of nXk 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing 12
 4, 16, 16, 50, 160, 64, 130, 984, 1600, 256, 296, 4580, 13683, 16000, 1024, 610, 17723, 84132, 186516, 160000, 4096, 1163, 59792, 442089, 1334973, 2596992, 1600000, 16384, 2083, 180821, 2059793, 8073038, 21348990, 37128051, 16000000, 65536, 3544 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......4..........16............50............130.............296 ......16.........160...........984...........4580...........17723 ......64........1600.........13683..........84132..........442089 .....256.......16000........186516........1334973.........8073038 ....1024......160000.......2596992.......21348990.......137489538 ....4096.....1600000......37128051......356222482......2425304290 ...16384....16000000.....537465766.....6172817040.....45275725025 ...65536...160000000....7804602744...109166159263....883012703273 ..262144..1600000000..113382138975..1947747629183..17667432461262 .1048576.16000000000.1646661944858.34864494529806.358042017265316 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical: columns k=1..4 have recurrences of order 1,1,25,52 for n>0,0,26,59 Empirical: rows n=1..6 are polynomials of degree 6*n for k>0,0,3,7,11,15 EXAMPLE Some solutions for n=3 k=4 ..0..2..2..1....3..0..0..0....0..0..3..2....3..2..1..1....0..1..1..1 ..2..2..2..0....1..2..3..0....3..3..2..0....3..2..2..2....1..2..3..0 ..3..2..2..1....3..3..2..2....3..3..3..2....2..3..2..2....3..3..0..0 CROSSREFS Column 1 is A000302 Column 2 is 16*10^(n-1) Row 1 is A223659 Row 2 is A224058 Sequence in context: A203252 A224064 A224050 * A224204 A238287 A223811 Adjacent sequences: A224278 A224279 A224280 * A224282 A224283 A224284 KEYWORD nonn,tabl AUTHOR R. H. Hardin Apr 02 2013 STATUS approved

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Last modified August 11 17:18 EDT 2024. Contains 375073 sequences. (Running on oeis4.)