cp's OEIS Frontend

A188863 Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

%I A188863 #8 May 01 2018 09:12:52
%S A188863 64,239,466,707,950,1193,1436,1679,1922,2165,2408,2651,2894,3137,3380,
%T A188863 3623,3866,4109,4352,4595,4838,5081,5324,5567,5810,6053,6296,6539,
%U A188863 6782,7025,7268,7511,7754,7997,8240,8483,8726,8969,9212,9455,9698,9941,10184
%N A188863 Number of n X 6 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.
%C A188863 Column 6 of A188866.
%H A188863 R. H. Hardin, <a href="/A188863/b188863.txt">Table of n, a(n) for n = 1..200</a>
%F A188863 Empirical: a(n) = 243*n - 265 for n>3.
%F A188863 Empirical g.f.: x*(64 + 111*x + 52*x^2 + 14*x^3 + 2*x^4) / (1 - x)^2. - _Colin Barker_, May 01 2018
%e A188863 Some solutions for 3 X 6:
%e A188863 ..1..1..1..0..1..1....1..0..0..0..0..0....1..1..1..1..1..0....1..1..1..1..1..1
%e A188863 ..0..0..0..0..0..0....0..0..0..0..0..0....1..0..1..0..0..0....0..1..1..1..1..1
%e A188863 ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..1..1..0
%Y A188863 Cf. A188866.
%K A188863 nonn
%O A188863 1,1
%A A188863 _R. H. Hardin_, Apr 12 2011