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A203087 Number of (n+2)X6 binary arrays avoiding patterns 000 and 101 in rows and columns 1

%I

%S 1575,6615,26528,112334,470807,1946072,8108104,33749405,140139039,

%T 582872782,2424232694,10076881075,41899814371,174230232505,

%U 724397027179,3011944328140,12523598001417,52071590286001,216507575162589

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

%C Column 4 of A203091

%H R. H. Hardin, <a href="/A203087/b203087.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=3

%e ..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 ..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 ..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 ..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 ..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 nonn

%O 1,1

%A _R. H. Hardin_ Dec 29 2011

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Last modified July 6 22:30 EDT 2020. Contains 335484 sequences. (Running on oeis4.)