cp's OEIS Frontend

A188988 Number of n X 5 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.

%I A188988 #8 May 01 2018 09:39:01
%S A188988 20,400,5304,68064,852448,10682432,133744640,1674569728,20965958400,
%T A188988 262498839552,3286544012800,41148269700608,515185556441600,
%U A188988 6450238643180032,80758433426035200,1011113686205526528
%N A188988 Number of n X 5 binary arrays without the pattern 0 0 1 antidiagonally or horizontally.
%C A188988 Column 5 of A188992.
%H A188988 R. H. Hardin, <a href="/A188988/b188988.txt">Table of n, a(n) for n = 1..200</a>
%F A188988 Empirical: a(n) = 13*a(n-1) +4*a(n-2) -132*a(n-3) +60*a(n-4) +320*a(n-5) -240*a(n-6) for n>8.
%F A188988 Empirical g.f.: 4*x*(5 + 35*x + 6*x^2 + 38*x^3 - 500*x^4 - 480*x^5 + 1560*x^6 - 576*x^7) / ((1 - 2*x)*(1 + 2*x)*(1 - 13*x + 80*x^3 - 60*x^4)). - _Colin Barker_, May 01 2018
%e A188988 Some solutions for 3 X 5:
%e A188988 ..1..1..1..1..0....1..0..1..1..1....1..1..1..1..1....1..1..1..1..0
%e A188988 ..0..1..0..1..1....0..1..1..0..1....1..1..0..0..0....0..1..0..1..0
%e A188988 ..0..1..0..0..0....1..0..0..0..0....0..1..1..1..1....0..1..1..0..0
%Y A188988 Cf. A188992.
%K A188988 nonn
%O A188988 1,1
%A A188988 _R. H. Hardin_, Apr 15 2011