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A207072 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically.

%I A207072 #7 Jul 22 2025 20:00:03
%S A207072 10,100,390,1485,6398,23856,82739,291364,997288,3297100,10818024,
%T A207072 35133264,112323561,356011440,1121062052,3501522000,10866865736,
%U A207072 33562033288,103140966600,315558380637,961941393008,2922406648218
%N A207072 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically.
%C A207072 Row 5 of A207068
%H A207072 R. H. Hardin, <a href="/A207072/b207072.txt">Table of n, a(n) for n = 1..210</a>
%F A207072 Empirical: a(n) = 9*a(n-1) -35*a(n-2) +128*a(n-3) -504*a(n-4) +1405*a(n-5) -3527*a(n-6) +10004*a(n-7) -21957*a(n-8) +43116*a(n-9) -100600*a(n-10) +180542*a(n-11) -288683*a(n-12) +601553*a(n-13) -890790*a(n-14) +1178751*a(n-15) -2389520*a(n-16) +2860308*a(n-17) -3168352*a(n-18) +6925971*a(n-19) -6272993*a(n-20) +5964756*a(n-21) -15635179*a(n-22) +9301968*a(n-23) -8207968*a(n-24) +28084470*a(n-25) -8016257*a(n-26) +8613235*a(n-27) -39935561*a(n-28) +554384*a(n-29) -7574657*a(n-30) +44233732*a(n-31) +8559244*a(n-32) +5944596*a(n-33) -36966852*a(n-34) -12244472*a(n-35) -3806760*a(n-36) +22506064*a(n-37) +8779376*a(n-38) +1734912*a(n-39) -9491712*a(n-40) -3511296*a(n-41) -343296*a(n-42) +2433024*a(n-43) +691200*a(n-44) -331776*a(n-46)
%e A207072 Some solutions for n=4
%e A207072 ..0..0..0..0....0..1..1..1....1..1..1..0....0..0..0..0....1..1..0..0
%e A207072 ..0..1..1..0....0..1..1..0....0..1..1..0....0..1..1..1....0..0..0..0
%e A207072 ..0..0..0..0....0..0..0..0....0..1..1..0....0..0..0..0....0..0..0..0
%e A207072 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%e A207072 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
%K A207072 nonn
%O A207072 1,1
%A A207072 _R. H. Hardin_ Feb 14 2012