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A203087 Number of (n+2)X6 binary arrays avoiding patterns 000 and 101 in rows and columns.

%I A203087 #7 Jul 22 2025 17:00:48
%S A203087 1575,6615,26528,112334,470807,1946072,8108104,33749405,140139039,
%T A203087 582872782,2424232694,10076881075,41899814371,174230232505,
%U A203087 724397027179,3011944328140,12523598001417,52071590286001,216507575162589
%N A203087 Number of (n+2)X6 binary arrays avoiding patterns 000 and 101 in rows and columns.
%C A203087 Column 4 of A203091
%H A203087 R. H. Hardin, <a href="/A203087/b203087.txt">Table of n, a(n) for n = 1..210</a>
%F A203087 Empirical: a(n) = a(n-1) +4*a(n-2) +34*a(n-3) +40*a(n-4) -31*a(n-5) -224*a(n-6) -413*a(n-7) +433*a(n-8) +1505*a(n-9) +703*a(n-10) -2455*a(n-11) -5056*a(n-12) +2075*a(n-13) +4934*a(n-14) -656*a(n-15) +3696*a(n-16) +18044*a(n-17) -16513*a(n-18) -39362*a(n-19) +8986*a(n-20) +39868*a(n-21) -19137*a(n-22) +10671*a(n-23) +7513*a(n-24) -14687*a(n-25) -4882*a(n-26) -718*a(n-27) +4632*a(n-28) +3198*a(n-29) +2571*a(n-30) +1542*a(n-31) -1549*a(n-32) +249*a(n-33) -84*a(n-34) -330*a(n-35) +54*a(n-36) -216*a(n-37) for n>41
%e A203087 Some solutions for n=3
%e A203087 ..1..0..0..1..1..1....0..1..1..0..0..1....0..1..1..0..0..1....1..1..1..1..0..0
%e A203087 ..0..0..1..1..1..1....1..1..1..0..0..1....1..1..1..0..0..1....0..0..1..1..1..0
%e A203087 ..0..1..0..0..1..1....1..1..1..1..1..1....0..1..1..1..1..0....0..0..1..1..1..1
%e A203087 ..1..1..0..0..1..1....1..1..1..1..1..1....0..1..1..1..1..0....1..1..0..0..1..1
%e A203087 ..0..0..1..1..1..0....1..1..1..1..0..0....1..1..1..1..1..1....1..1..0..0..1..0
%K A203087 nonn
%O A203087 1,1
%A A203087 _R. H. Hardin_ Dec 29 2011