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A250542 Number of (n+1)X(6+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.

%I A250542 #6 Jul 23 2025 12:31:35
%S A250542 905440,13657024,117777788,752602024,4013192386,19031828420,
%T A250542 83356429646,345394150196,1375930596944,5328628464360,20220736129384,
%U A250542 75618410690640,279874213617366,1028575074942300,3763545764867642,13740591719926652
%N A250542 Number of (n+1)X(6+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.
%C A250542 Column 6 of A250544
%H A250542 R. H. Hardin, <a href="/A250542/b250542.txt">Table of n, a(n) for n = 1..87</a>
%F A250542 Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)
%e A250542 Some solutions for n=1
%e A250542 ..2..0..2..1..2..0..2....2..2..2..3..0..0..1....2..0..3..0..0..1..2
%e A250542 ..2..1..3..2..3..1..3....1..1..1..2..0..1..3....2..0..3..0..0..1..3
%K A250542 nonn
%O A250542 1,1
%A A250542 _R. H. Hardin_, Nov 24 2014