cp's OEIS Frontend

A202371 Number of (n+2)X3 binary arrays avoiding patterns 001 and 111 in rows and columns.

%I A202371 #7 Jul 22 2025 16:33:03
%S A202371 98,257,611,1326,2815,5718,11362,22164,42507,80633,151352,281811,
%T A202371 521224,958418,1754004,3196693,5805401,10510754,18978585,34187852,
%U A202371 61457038,110271668,197530737,353309613,631087988,1125880395,2006365746
%N A202371 Number of (n+2)X3 binary arrays avoiding patterns 001 and 111 in rows and columns.
%C A202371 Column 1 of A202378
%H A202371 R. H. Hardin, <a href="/A202371/b202371.txt">Table of n, a(n) for n = 1..210</a>
%F A202371 Empirical: a(n) = 2*a(n-1) +3*a(n-2) -2*a(n-3) -12*a(n-4) -a(n-5) +12*a(n-6) +15*a(n-7) -2*a(n-8) -8*a(n-9) -13*a(n-10) -5*a(n-11) +a(n-12) +8*a(n-13) +4*a(n-14) +2*a(n-15) -a(n-16) -a(n-17) -a(n-18)
%e A202371 Some solutions for n=10
%e A202371 ..1..1..0....1..0..0....1..0..0....0..1..1....1..1..0....0..1..1....1..0..1
%e A202371 ..1..0..1....1..1..0....0..1..1....1..1..0....1..0..1....1..0..0....0..1..1
%e A202371 ..0..1..0....0..0..0....1..1..0....1..0..1....0..1..0....0..1..1....1..0..0
%e A202371 ..1..1..0....1..1..0....1..0..1....0..1..1....1..0..1....1..0..0....0..1..0
%e A202371 ..0..0..0....1..1..0....0..1..0....1..0..0....0..1..0....0..1..1....1..1..0
%e A202371 ..1..1..0....0..0..0....1..0..1....1..1..0....1..1..0....1..0..1....1..0..0
%e A202371 ..0..0..0....1..1..0....0..1..1....0..0..0....1..0..0....0..0..0....0..1..0
%e A202371 ..1..1..0....1..0..0....1..1..0....1..0..0....0..0..0....1..0..1....1..1..0
%e A202371 ..1..0..0....0..1..0....1..0..1....1..0..0....1..0..0....1..0..1....1..0..0
%e A202371 ..0..1..0....1..1..0....0..1..0....0..0..0....0..0..0....0..0..0....0..0..0
%e A202371 ..0..0..0....0..0..0....1..0..1....1..0..0....1..0..0....1..0..1....0..0..0
%e A202371 ..0..0..0....1..0..0....1..0..1....0..0..0....1..0..0....1..0..0....0..0..0
%K A202371 nonn
%O A202371 1,1
%A A202371 _R. H. Hardin_ Dec 18 2011