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A202641 Number of (n+2)X4 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals 1

%I

%S 172,530,1766,5948,19880,66924,224940,755816,2541276,8543094,28716716,

%T 96540806,324538890,1090985388,3667580154,12329245406,41447005012,

%U 139332080292,468390834050,1574583459558,5293259411920,17794285178750

%N Number of (n+2)X4 binary arrays avoiding patterns 000 and 111 in rows, columns and nw-to-se diagonals

%C Column 2 of A202647

%H R. H. Hardin, <a href="/A202641/b202641.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +7*a(n-2) +a(n-3) -28*a(n-4) -30*a(n-5) +56*a(n-6) +71*a(n-7) -64*a(n-8) -74*a(n-9) +42*a(n-10) +39*a(n-11) -18*a(n-12) -9*a(n-13) +6*a(n-14) +a(n-15) -a(n-16) for n>17

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 22 2011

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Last modified June 28 21:04 EDT 2022. Contains 354907 sequences. (Running on oeis4.)