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 A224204 T(n,k)=Number of nXk 0..3 arrays with rows unimodal and antidiagonals nondecreasing 12
 4, 16, 16, 50, 160, 64, 130, 984, 1600, 256, 296, 4580, 16060, 16000, 1024, 610, 17723, 108625, 263516, 160000, 4096, 1163, 59792, 586343, 2411246, 4357084, 1600000, 16384, 2083, 180821, 2734683, 16355242, 54177872, 72105068, 16000000, 65536 (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.........16060..........108625...........586343 .....256.......16000........263516.........2411246.........16355242 ....1024......160000.......4357084........54177872........451319098 ....4096.....1600000......72105068......1229044416......12652618110 ...16384....16000000....1193130640.....27957232796.....357890479324 ...65536...160000000...19742052632....636184842092...10153767871028 ..262144..1600000000..326659600368..14476260508500..288290902851198 .1048576.16000000000.5405039750704.329391607167600.8186391229197618 LINKS R. H. Hardin, Table of n, a(n) for n = 1..511 FORMULA Empirical: columns k=1..7 have recurrences of order 1,1,7,10,19,25,41 for n>0,0,0,12,23,32,48 Empirical: rows n=1..7 are polynomials of degree 6*n for k>0,0,0,2,3,4,5 EXAMPLE Some solutions for n=3 k=4 ..0..0..1..1....0..1..2..1....1..1..0..0....2..1..1..0....0..1..2..2 ..1..1..2..0....3..2..2..0....2..3..3..3....1..3..3..0....1..3..3..3 ..1..2..3..3....3..3..3..1....3..3..3..0....3..3..2..1....3..3..3..1 CROSSREFS Column 1 is A000302 Column 2 is 16*10^(n-1) Row 1 is A223659 Row 2 is A224058 Sequence in context: A224064 A224050 A224281 * A238287 A223811 A223762 Adjacent sequences: A224201 A224202 A224203 * A224205 A224206 A224207 KEYWORD nonn,tabl AUTHOR R. H. Hardin Apr 01 2013 STATUS approved

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Last modified September 19 02:20 EDT 2024. Contains 376003 sequences. (Running on oeis4.)