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A233368 Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..3+1} nondecreasing 1

%I #4 Dec 08 2013 06:24:16

%S 25,139,568,1964,6412,19711,56427,150258,375826,893100,2024828,

%T 4391269,9165068,18490081,36156100,68675984,126997620,229017852,

%U 403366974,695484750,1176286197,1955039200,3196887389,5147543575,8168623537

%N Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*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 A233366

%H R. H. Hardin, <a href="/A233368/b233368.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=5

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2013

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)