%I #4 Dec 01 2013 05:59:50

%S 25,130,650,2942,11445,37040,101369,257799,633068,1515898,3535659,

%T 7923813,16924203,34435189,67351417,127875041,237092930,430410822,

%U 764368249,1325374142,2247755925,3735891528,6105155090,9831802225

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

%C Column 3 of A232860

%H R. H. Hardin, <a href="/A232856/b232856.txt">Table of n, a(n) for n = 1..29</a>

%e Some solutions for n=5

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

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

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

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

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

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