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A233377 Number of (3+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..3+1} nondecreasing. 1

%I #7 Dec 08 2013 13:37:32

%S 444,10496,202692,3297833,46482312,579835701,6509469538,66642934268,

%T 628883018246,5518306278777,45357047785845,351381939241378,

%U 2579374029688225,18023614609572379,120364975288294768

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

%C Row 3 of A233374.

%H R. H. Hardin, <a href="/A233377/b233377.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2013

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Last modified June 1 10:24 EDT 2023. Contains 363068 sequences. (Running on oeis4.)