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A250541 Number of (n+1)X(5+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 A250541 #6 Jul 23 2025 12:31:29
%S A250541 187000,2701872,23289547,151170400,824599694,4013192386,18064444143,
%T A250541 76961701472,315204675572,1254564769204,4890689086931,18781896020328,
%U A250541 71371001739442,269293563149046,1011736459116935,3793520599786824
%N A250541 Number of (n+1)X(5+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 A250541 Column 5 of A250544
%H A250541 R. H. Hardin, <a href="/A250541/b250541.txt">Table of n, a(n) for n = 1..210</a>
%F A250541 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 A250541 Some solutions for n=1
%e A250541 ..2..2..0..0..2..1....2..2..0..2..1..2....2..3..2..1..0..1....2..2..1..0..1..0
%e A250541 ..0..0..1..1..3..2....1..3..1..3..2..3....0..1..3..2..1..3....0..2..1..1..2..1
%K A250541 nonn
%O A250541 1,1
%A A250541 _R. H. Hardin_, Nov 24 2014