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A224035 Number of n X 5 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

%I A224035 #8 Aug 26 2018 09:50:36
%S A224035 6,26,85,252,734,2149,6321,18673,55373,164729,491332,1468446,4395388,
%T A224035 13170815,39497285,118511408,355728667,1068051097,3207330581,
%U A224035 9632722080,28932821313,86907496260,261060029437,784214341324,2355790958452
%N A224035 Number of n X 5 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.
%C A224035 Column 5 of A224038.
%H A224035 R. H. Hardin, <a href="/A224035/b224035.txt">Table of n, a(n) for n = 1..210</a>
%F A224035 Empirical: a(n) = 6*a(n-1) - 10*a(n-2) + a(n-3) + 6*a(n-4) + a(n-5) - 4*a(n-6) + 4*a(n-7) - 4*a(n-8) + 8*a(n-9) for n>10.
%F A224035 Empirical g.f.: x*(6 - 10*x - 11*x^2 - 4*x^3 + 10*x^4 + 18*x^5 + 3*x^6 - 14*x^7 - 4*x^9) / ((1 - 2*x)*(1 - 4*x + 2*x^2 + 3*x^3 - x^5 + 2*x^6 + 4*x^8)). - _Colin Barker_, Aug 26 2018
%e A224035 Some solutions for n=3:
%e A224035 ..0..0..0..0..0....0..0..0..1..1....0..0..0..0..0....0..0..0..1..1
%e A224035 ..0..1..1..1..1....0..1..1..1..1....0..1..1..1..1....0..1..1..1..1
%e A224035 ..1..1..1..1..1....0..1..1..1..1....0..0..1..1..1....1..1..1..1..1
%Y A224035 Cf. A224038.
%K A224035 nonn
%O A224035 1,1
%A A224035 _R. H. Hardin_, Mar 30 2013