|
%I #8 Jun 26 2018 14:08:31
%S 12,144,420,1943,5952,16224,55624,181192,545140,1737120,5591900,
%T 17461000,55016920,175036148,552196708,1741059012,5511897568,
%U 17422085700,55006038672,173881945232,549639384692,1736473292204,5487493400532
%N Number of 5 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 0 1 1 vertically.
%C Row 5 of A208013.
%H R. H. Hardin, <a href="/A208015/b208015.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 23*a(n-3) + 6*a(n-4) + 6*a(n-5) - 108*a(n-6) - 72*a(n-7) + 216*a(n-9) for n>11.
%F Empirical g.f.: x*(12 + 132*x + 276*x^2 + 1247*x^3 + 625*x^4 - 324*x^5 - 7377*x^6 - 9090*x^7 - 846*x^8 + 17064*x^9 + 7884*x^10) / (1 - x - 23*x^3 - 6*x^4 - 6*x^5 + 108*x^6 + 72*x^7 - 216*x^9). - _Colin Barker_, Jun 26 2018
%e Some solutions for n=4:
%e ..1..0..0..1....0..1..1..1....0..0..1..0....1..1..0..0....0..0..1..1
%e ..0..1..1..0....0..1..1..0....0..1..1..1....1..1..1..0....1..1..1..0
%e ..1..0..0..1....0..1..0..0....0..0..1..0....0..1..0..0....0..0..1..0
%e ..0..1..1..0....0..0..1..0....0..1..0..0....1..1..1..0....1..1..0..0
%e ..1..0..0..1....0..1..0..0....0..0..1..0....0..1..0..0....0..0..1..0
%Y Cf. A208013.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 22 2012
| 