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A318543 Number of nX6 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%I A318543 #4 Aug 28 2018 11:05:45
%S A318543 13,15,52,207,784,2905,10496,38721,144148,531780,1960675,7241505,
%T A318543 26745797,98766587,364682042,1346615672,4972655637,18362061797,
%U A318543 67803976370,250374735252,924538580895,3413971260050,12606503235153
%N A318543 Number of nX6 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C A318543 Column 6 of A318545.
%H A318543 R. H. Hardin, <a href="/A318543/b318543.txt">Table of n, a(n) for n = 1..210</a>
%F A318543 Empirical: a(n) = a(n-1) +24*a(n-3) +20*a(n-4) +96*a(n-5) +2*a(n-6) +103*a(n-7) -209*a(n-8) -11*a(n-9) -287*a(n-10) +65*a(n-11) +298*a(n-12) -154*a(n-13) +475*a(n-14) +73*a(n-15) -898*a(n-16) -83*a(n-17) +533*a(n-18) +215*a(n-19) -197*a(n-20) -209*a(n-21) +353*a(n-22) +119*a(n-23) -885*a(n-24) +190*a(n-25) +1077*a(n-26) -441*a(n-27) -760*a(n-28) +403*a(n-29) +336*a(n-30) -210*a(n-31) -91*a(n-32) +66*a(n-33) +14*a(n-34) -12*a(n-35) -a(n-36) +a(n-37) for n>38
%e A318543 Some solutions for n=5
%e A318543 ..0..0..0..0..0..0. .0..0..0..0..0..0. .0..1..0..0..0..0. .0..0..0..0..0..0
%e A318543 ..0..0..0..0..1..0. .0..0..1..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
%e A318543 ..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .1..0..0..0..0..0
%e A318543 ..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..1..0..0. .0..0..1..0..0..1
%e A318543 ..0..0..0..0..1..0. .0..1..0..0..1..0. .0..0..0..0..0..0. .0..0..0..0..0..0
%Y A318543 Cf. A318545.
%K A318543 nonn
%O A318543 1,1
%A A318543 _R. H. Hardin_, Aug 28 2018