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A209652 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically.

%I A209652 #7 Jul 22 2025 21:53:03
%S A209652 10,100,390,1215,4690,16830,65765,251160,994050,3911375,15639390,
%T A209652 62524602,251961125,1016913820,4122470862,16742504735,68184829338,
%U A209652 278147046150,1136817652005,4652769761136,19069624615146,78246585726191
%N A209652 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically.
%C A209652 Row 5 of A209650
%H A209652 R. H. Hardin, <a href="/A209652/b209652.txt">Table of n, a(n) for n = 1..210</a>
%F A209652 Empirical: a(n) = 11*a(n-1) -13*a(n-2) -243*a(n-3) +709*a(n-4) +2169*a(n-5) -9198*a(n-6) -9930*a(n-7) +61958*a(n-8) +23330*a(n-9) -254062*a(n-10) -16614*a(n-11) +669763*a(n-12) -53961*a(n-13) -1146177*a(n-14) +176529*a(n-15) +1247849*a(n-16) -252499*a(n-17) -820948*a(n-18) +202824*a(n-19) +291592*a(n-20) -85440*a(n-21) -41472*a(n-22) +13824*a(n-23) for n>24
%e A209652 Some solutions for n=4
%e A209652 ..1..1..1..0....0..0..0..0....0..1..1..0....1..1..1..1....1..0..1..0
%e A209652 ..1..0..1..0....1..1..0..1....1..1..0..1....1..1..0..1....1..1..1..1
%e A209652 ..1..0..1..0....0..0..0..0....1..1..0..1....0..0..0..0....0..1..0..1
%e A209652 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1
%e A209652 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1
%K A209652 nonn
%O A209652 1,1
%A A209652 _R. H. Hardin_ Mar 11 2012