%I #4 Dec 01 2013 05:59:14

%S 14,45,130,336,755,1494,2696,4713,8039,13380,21741,33960,51312,75339,

%T 108579,154222,216194,298111,404477,540201,713414,932397,1208728,

%U 1553644,1978226,2495860,3124911,3887013,4804956,5907138,7218216,8769844

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

%C Column 2 of A232860

%H R. H. Hardin, <a href="/A232855/b232855.txt">Table of n, a(n) for n = 1..109</a>

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2013