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A201149 Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

%I A201149 #7 Jul 22 2025 16:07:32
%S A201149 6,20,56,140,330,745,1634,3504,7388,15366,31612,64446,130391,262113,
%T A201149 523984,1042433,2065098,4075761,8017395,15724110,30756544,60014931,
%U A201149 116849951,227054267,440389499,852738289,1648633351,3182830233
%N A201149 Number of nX2 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.
%C A201149 Column 2 of A201155
%H A201149 R. H. Hardin, <a href="/A201149/b201149.txt">Table of n, a(n) for n = 1..210</a>
%F A201149 Empirical: a(n) = 7*a(n-1) -16*a(n-2) +4*a(n-3) +39*a(n-4) -56*a(n-5) +2*a(n-6) +59*a(n-7) -49*a(n-8) -5*a(n-9) +29*a(n-10) -14*a(n-11) -2*a(n-12) +4*a(n-13) -a(n-14)
%e A201149 Some solutions for n=10
%e A201149 ..0..1....0..0....0..0....0..0....0..0....0..0....0..1....0..1....0..0....0..0
%e A201149 ..0..1....0..0....0..0....0..0....0..0....0..2....0..1....0..1....0..0....0..0
%e A201149 ..0..2....0..0....1..2....0..2....0..2....0..1....0..1....0..2....0..0....0..0
%e A201149 ..1..2....0..2....2..2....0..1....0..2....1..1....0..1....0..2....0..1....0..1
%e A201149 ..2..2....0..2....1..2....0..1....1..2....1..2....2..2....1..2....0..1....0..2
%e A201149 ..1..2....0..2....2..2....1..1....1..2....1..2....1..2....1..2....0..1....0..2
%e A201149 ..1..2....1..1....1..2....1..2....1..2....1..2....2..2....1..2....0..2....0..2
%e A201149 ..1..2....1..1....2..2....1..2....1..2....1..2....2..2....2..2....0..1....1..1
%e A201149 ..1..2....1..2....2..2....2..2....1..2....1..2....1..2....2..2....1..1....1..1
%e A201149 ..2..2....1..2....2..2....1..2....2..2....2..2....1..2....2..2....1..2....2..2
%K A201149 nonn
%O A201149 1,1
%A A201149 _R. H. Hardin_ Nov 27 2011