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A232886
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing
6
83, 527, 578, 2751, 12920, 3473, 12556, 235936, 280325, 18886, 51716, 3695555, 18692802, 5527323, 95877, 196332, 51264185, 1063222171, 1359352910, 100945688, 462013, 698368, 644182816, 53153482029, 286526177537, 91866009436, 1735612787
OFFSET
1,1
COMMENTS
Table starts
......83........527........2751........12556..........51716........196332
.....578......12920......235936......3695555.......51264185.....644182816
....3473.....280325....18692802...1063222171....53153482029.2386893457725
...18886....5527323..1359352910.286526177537.53047056275986
...95877..100945688.91866009436
..462013.1735612787
.2138895
LINKS
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..0..1....0..0..2..3..1....0..0..3..1..0....0..0..0..0..0
..0..0..0..0..1....0..0..1..3..2....0..0..0..3..3....0..0..0..2..2
..0..0..2..2..3....1..1..1..1..3....0..2..2..2..3....1..2..2..1..2
CROSSREFS
Sequence in context: A142820 A142900 A033248 * A232887 A232884 A142289
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 02 2013
STATUS
approved