%I
%S 34,232,1986,21957,239330,2694620,30257296,338790472,3761876941,
%T 41492573432
%N Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..4+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
%C Column 4 of A233301
%e Some solutions for n=5
%e ..0..0..0..0..0....0..0..0..0..0....0..0..1..0..1....0..0..0..1..1
%e ..0..0..1..0..0....0..0..1..1..1....0..0..1..0..1....0..1..1..0..0
%e ..1..0..0..1..1....0..1..0..1..1....1..1..0..0..0....1..0..0..1..0
%e ..1..0..1..0..1....0..1..1..1..1....1..0..1..0..1....0..0..1..1..0
%e ..0..0..1..1..1....1..0..1..1..1....0..0..1..1..1....1..0..0..0..1
%e ..0..1..0..1..1....1..1..1..1..1....0..1..0..1..1....0..1..1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 07 2013
