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%I #5 May 04 2021 14:02:56
%S 129,1739,21856,239330,2353493,20916337,170084407,1276676471,
%T 8918067742,58369345796,360074924787,2104323603081,11702598417138,
%U 62173159707627
%N Number of (5+1) X (n+1) 0..1 arrays x(i,j) with row sums Sum_{j=1..n+1} x(i,j) nondecreasing, and column sums Sum_{i=1..5+1} i^2*x(i,j) nondecreasing.
%C Row 5 of A233301.
%e Some solutions for n=4
%e ..0..0..1..1..0....0..0..0..1..0....0..0..0..0..1....0..0..0..1..1
%e ..0..0..1..0..1....0..0..1..1..1....0..0..1..0..1....1..0..1..1..0
%e ..0..1..0..1..0....0..1..1..1..0....1..0..1..0..0....1..0..1..0..1
%e ..0..0..1..1..0....1..0..1..0..1....0..0..1..1..1....1..0..1..0..1
%e ..1..0..1..0..1....0..1..0..1..1....0..1..0..1..1....1..1..0..1..1
%e ..0..1..0..1..1....0..0..1..1..1....0..0..1..1..1....0..1..1..1..1
%Y Cf. A233301.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 07 2013