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%I #5 Dec 01 2013 05:58:30
%S 7,14,25,41,61,86,117,156,204,262,331,406,492,590,702,829,972,1124,
%T 1292,1476,1679,1901,2144,2401,2677,2974,3294,3639,4009,4400,4812,
%U 5250,5715,6210,6735,7292,7867,8473,9111,9781,10486,11227,11992,12791,13627,14501
%N Number of (n+1)X(1+1) 0..1 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 A232860
%H R. H. Hardin, <a href="/A232854/b232854.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=5
%e ..0..0....1..0....0..0....0..0....0..0....1..0....1..0....1..0....0..0....0..0
%e ..1..0....0..1....1..0....0..0....0..1....0..1....1..0....1..0....0..0....0..1
%e ..1..0....0..1....0..1....0..0....0..1....0..1....0..1....0..1....1..0....0..1
%e ..1..0....0..1....0..1....0..0....0..1....1..1....0..1....1..1....1..0....1..1
%e ..0..1....0..1....0..1....0..1....0..1....1..1....0..1....1..1....0..1....1..1
%e ..0..1....1..1....0..1....0..1....0..1....1..1....0..1....1..1....0..1....1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 01 2013