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A232784 Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing 1

%I #5 Nov 30 2013 09:01:17

%S 29,112,350,938,2245,4897,9932,19033,34678,60442,101564,165022,260793,

%T 402167,606492,896049,1300110,1854827,2606409,3610628,4937580,6671629,

%U 8917134,11798056,15462182,20083501,25871527,33067654,41958507,52873468

%N Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

%C Column 1 of A232787

%H R. H. Hardin, <a href="/A232784/b232784.txt">Table of n, a(n) for n = 1..74</a>

%e Some solutions for n=5

%e ..0..1....1..0....1..0....1..0....0..0....2..0....0..1....0..0....1..0....2..0

%e ..1..2....0..1....2..0....0..2....2..0....0..1....0..1....0..0....2..1....2..0

%e ..2..2....1..1....2..1....1..2....1..1....0..1....1..1....1..0....2..1....1..1

%e ..2..2....1..1....1..2....1..2....1..1....1..1....1..1....0..1....1..2....1..1

%e ..2..2....0..2....2..2....1..2....1..1....0..2....0..2....2..2....2..2....0..2

%e ..2..2....2..2....2..2....2..2....0..2....2..2....0..2....2..2....2..2....2..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2013

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Last modified May 7 21:53 EDT 2024. Contains 372317 sequences. (Running on oeis4.)