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A207394 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207394 #7 Jul 22 2025 20:22:02
%S A207394 10,100,350,1271,5348,19319,65955,232892,806886,2731598,9282799,
%T A207394 31515158,106316099,358441563,1208892830,4071575656,13706136778,
%U A207394 46144638323,155319797404,522698327881,1759064945909,5919715175612,19920381011276
%N A207394 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207394 Row 5 of A207391
%H A207394 R. H. Hardin, <a href="/A207394/b207394.txt">Table of n, a(n) for n = 1..210</a>
%F A207394 Empirical: a(n) = 6*a(n-1) -13*a(n-2) +37*a(n-3) -117*a(n-4) +173*a(n-5) -295*a(n-6) +711*a(n-7) -732*a(n-8) +936*a(n-9) -2073*a(n-10) +1402*a(n-11) -1672*a(n-12) +3654*a(n-13) -1481*a(n-14) +2262*a(n-15) -4159*a(n-16) +901*a(n-17) -2155*a(n-18) +2729*a(n-19) -143*a(n-20) +1111*a(n-21) -900*a(n-22) -104*a(n-23) -297*a(n-24) +174*a(n-25) +22*a(n-26) +48*a(n-27) -24*a(n-28)
%e A207394 Some solutions for n=4
%e A207394 ..1..0..1..1....0..1..1..0....1..1..1..0....1..0..0..0....0..1..1..1
%e A207394 ..0..0..0..0....0..1..1..1....1..1..0..0....1..1..1..0....1..1..1..0
%e A207394 ..1..0..1..1....0..1..1..1....1..1..1..0....1..0..0..0....0..1..1..0
%e A207394 ..0..0..0..0....0..1..1..1....1..1..1..0....1..1..0..0....0..1..1..0
%e A207394 ..1..0..1..1....0..1..1..1....1..1..1..0....1..0..0..0....0..1..1..0
%K A207394 nonn
%O A207394 1,1
%A A207394 _R. H. Hardin_ Feb 17 2012