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A217980 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nX6 array.

%I A217980 #6 Jul 22 2025 23:45:51
%S A217980 16,16,256,1180,8872,54504,363728,2347480,15361400,99957900,651962620,
%T A217980 4248252712,27693131900,180493901576,1176474695224,7668147995040,
%U A217980 49980828130368,325772423519628,2123371872316720,13840043094715540
%N A217980 Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..1 nX6 array.
%C A217980 Column 6 of A217982
%H A217980 R. H. Hardin, <a href="/A217980/b217980.txt">Table of n, a(n) for n = 1..101</a>
%F A217980 Empirical: a(n) = 5*a(n-1) +20*a(n-2) -26*a(n-3) -243*a(n-4) -402*a(n-5) +1359*a(n-6) +3862*a(n-7) +575*a(n-8) -14159*a(n-9) -23730*a(n-10) +21635*a(n-11) +49428*a(n-12) +39959*a(n-13) -70045*a(n-14) -163116*a(n-15) +162408*a(n-16) +246212*a(n-17) -242465*a(n-18) -333744*a(n-19) +159949*a(n-20) +337852*a(n-21) -38088*a(n-22) -156828*a(n-23) -5419*a(n-24) +49017*a(n-25) +4621*a(n-26) -24626*a(n-27) -9053*a(n-28) +3845*a(n-29) +4770*a(n-30) +619*a(n-31) -302*a(n-32) -153*a(n-33) -20*a(n-34) +12*a(n-35)
%e A217980 Some solutions for n=3
%e A217980 ..1..1..0..0..0..1....0..0..0..0..0..1....1..1..0..0..0..1....1..1..0..0..0..0
%e A217980 ..0..0..0..0..0..0....0..0..0..0..0..1....1..1..0..0..0..0....0..0..0..0..0..0
%e A217980 ..0..0..1..1..0..0....0..0..0..0..0..1....1..1..1..0..0..0....0..0..1..1..0..0
%K A217980 nonn
%O A217980 1,1
%A A217980 _R. H. Hardin_ Oct 16 2012