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A207116 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.

%I A207116 #7 Jul 22 2025 20:02:27
%S A207116 14,196,826,3641,13863,42874,139341,402498,1153962,3259098,8878431,
%T A207116 24420005,65876246,177547567,478191946,1279250394,3433218078,
%U A207116 9182843871,24565794267,65742901568,175705176107,470018725612,1256530345118
%N A207116 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.
%C A207116 Row 7 of A207111
%H A207116 R. H. Hardin, <a href="/A207116/b207116.txt">Table of n, a(n) for n = 1..210</a>
%F A207116 Empirical: a(n) = 14*a(n-2) +16*a(n-3) -88*a(n-4) -175*a(n-5) +241*a(n-6) +873*a(n-7) -23*a(n-8) -2339*a(n-9) -1756*a(n-10) +3133*a(n-11) +4977*a(n-12) -651*a(n-13) -5183*a(n-14) -2799*a(n-15) -1396*a(n-16) -2060*a(n-17) +6290*a(n-18) +16137*a(n-19) +4270*a(n-20) -20843*a(n-21) -22622*a(n-22) +3496*a(n-23) +22840*a(n-24) +16236*a(n-25) -1848*a(n-26) -13694*a(n-27) -13472*a(n-28) -2741*a(n-29) +8808*a(n-30) +9784*a(n-31) +1585*a(n-32) -4681*a(n-33) -4085*a(n-34) -657*a(n-35) +1374*a(n-36) +1369*a(n-37) +376*a(n-38) -403*a(n-39) -405*a(n-40) -40*a(n-41) +117*a(n-42) +49*a(n-43) -13*a(n-44) -11*a(n-45) +a(n-47)
%e A207116 Some solutions for n=4
%e A207116 ..0..1..0..1....0..0..1..0....0..0..1..0....1..0..1..0....1..1..0..0
%e A207116 ..1..1..0..0....0..1..0..1....1..1..0..0....1..0..0..1....1..0..0..1
%e A207116 ..1..1..0..1....0..1..0..0....1..1..1..0....1..0..0..1....1..1..0..1
%e A207116 ..1..1..0..1....0..1..0..0....1..1..1..0....1..0..0..1....1..0..0..1
%e A207116 ..1..1..0..1....0..1..0..0....1..1..1..0....1..0..0..1....1..1..0..1
%e A207116 ..1..1..0..1....0..1..0..0....1..1..1..0....1..0..0..1....1..0..0..1
%e A207116 ..1..1..0..1....0..1..0..0....1..1..1..0....1..0..0..1....1..1..0..1
%K A207116 nonn
%O A207116 1,1
%A A207116 _R. H. Hardin_ Feb 15 2012