%I #5 Dec 08 2013 06:21:01
%S 14,46,139,364,849,1928,4281,9315,19741,40967,84289,172238,349179,
%T 700980,1406113,2817168,5640787,11280975,22553200,45097300,90149110,
%U 180171641,360001235,719290309,1437274041,2870143830,5726092077,11425527566
%N Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
%C Column 2 of A233366
%H R. H. Hardin, <a href="/A233361/b233361.txt">Table of n, a(n) for n = 1..31</a>
%e Some solutions for n=5
%e ..0..0..0....0..0..0....0..1..0....1..0..0....0..0..1....0..0..0....1..1..0
%e ..0..0..0....1..0..0....0..1..0....0..1..0....0..0..1....0..0..0....1..1..0
%e ..0..0..0....0..0..1....0..0..1....0..0..1....1..0..1....1..0..0....0..0..1
%e ..0..0..0....0..0..1....1..1..1....0..1..1....0..1..1....1..0..0....0..0..1
%e ..1..1..0....0..1..1....1..1..1....0..1..1....0..1..1....0..1..1....0..0..1
%e ..0..0..1....1..1..1....1..1..1....0..1..1....0..1..1....0..1..1....1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 08 2013
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