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A202642 Number of (n+2)X5 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals 1

%I

%S 462,1766,7432,31560,134338,572940,2443538,10435120,44531700,

%T 190115264,811684628,3465080340,14793419426,63158067342,269636162320,

%U 1151155105390,4914626712708,20981886699758,89577729008448,382433328039802

%N Number of (n+2)X5 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals

%C Column 3 of A202647

%H R. H. Hardin, <a href="/A202642/b202642.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +15*a(n-2) +9*a(n-3) -118*a(n-4) -238*a(n-5) +472*a(n-6) +1447*a(n-7) -1075*a(n-8) -4741*a(n-9) +1560*a(n-10) +9731*a(n-11) -1462*a(n-12) -13452*a(n-13) +1230*a(n-14) +12863*a(n-15) -1868*a(n-16) -8177*a(n-17) +3206*a(n-18) +2964*a(n-19) -3943*a(n-20) -99*a(n-21) +3247*a(n-22) -480*a(n-23) -1779*a(n-24) +260*a(n-25) +634*a(n-26) -75*a(n-27) -141*a(n-28) +13*a(n-29) +18*a(n-30) -a(n-31) -a(n-32) for n>33

%e Some solutions for n=3

%e ..0..0..1..1..0....0..0..1..0..1....1..0..1..1..0....0..0..1..0..0

%e ..0..1..0..0..1....0..1..0..1..1....0..0..1..0..0....0..1..0..0..1

%e ..1..0..0..1..0....1..1..0..1..0....1..1..0..1..1....1..0..0..1..1

%e ..0..0..1..0..0....1..0..1..0..0....1..0..0..1..0....1..0..1..1..0

%e ..0..1..0..1..1....0..1..0..0..1....0..1..1..0..1....0..1..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 22 2011

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Last modified July 1 06:17 EDT 2022. Contains 354952 sequences. (Running on oeis4.)