|
%I #9 Jul 07 2018 06:18:19
%S 35,1225,2485,44275,131355,1644265,6206445,62470275,277136755,
%T 2417186345,11980836805,94860446835,507738545195,3762485058185,
%U 21244807809085,150403989092035,881487114021955,6046472018190345,36369091148160085
%N Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 1 0 vertically.
%C Row 7 of A208840.
%H R. H. Hardin, <a href="/A208844/b208844.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 33*a(n-2) - 32*a(n-3).
%F Empirical g.f.: 35*x*(1 + 33*x - 32*x^2) / (1 - 2*x - 33*x^2 + 32*x^3). - _Colin Barker_, Jul 07 2018
%e Some solutions for n=4:
%e ..0..1..1..0....0..1..1..1....0..1..0..0....1..1..1..1....0..1..0..0
%e ..0..1..0..0....1..0..1..1....1..0..1..0....1..1..1..1....0..1..0..0
%e ..0..1..1..1....0..1..1..1....0..1..0..1....1..1..1..1....1..1..0..1
%e ..0..1..0..0....1..0..1..1....1..0..1..0....1..1..1..1....0..1..0..0
%e ..1..1..1..0....0..1..1..1....0..1..0..1....1..1..1..1....1..1..0..1
%e ..0..1..0..1....1..0..1..1....1..0..1..0....1..1..1..1....0..1..0..0
%e ..1..1..0..0....0..1..1..1....0..1..0..0....1..1..1..1....1..1..0..1
%Y Cf. A208840.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 01 2012
| 