%I #4 Dec 08 2013 06:23:36
%S 14,46,113,250,530,1043,1939,3422,5802,9490,15005,23117,34764,51097,
%T 73611,104127,144806,198364,268178,358188,473002,618350,800556,
%U 1026633,1305256,1646531,2061507,2562949,3165957,3886739,4742930,5756595,6950779
%N Number of (2+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..2+1} nondecreasing
%C Row 2 of A233366
%H R. H. Hardin, <a href="/A233367/b233367.txt">Table of n, a(n) for n = 1..63</a>
%e Some solutions for n=5
%e ..0..0..0..0..0..1....0..0..0..0..0..0....1..0..0..1..0..1....1..1..0..0..0..0
%e ..0..0..0..0..0..1....0..0..1..1..1..1....0..0..0..0..1..1....0..0..1..1..1..1
%e ..0..1..1..1..1..1....0..0..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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