cp's OEIS Frontend

A188864 Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.

%I A188864 #9 May 01 2018 09:50:02
%S A188864 128,577,1220,1931,2658,3387,4116,4845,5574,6303,7032,7761,8490,9219,
%T A188864 9948,10677,11406,12135,12864,13593,14322,15051,15780,16509,17238,
%U A188864 17967,18696,19425,20154,20883,21612,22341,23070,23799,24528,25257,25986,26715
%N A188864 Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.
%C A188864 Column 7 of A188866.
%H A188864 R. H. Hardin, <a href="/A188864/b188864.txt">Table of n, a(n) for n = 1..200</a>
%F A188864 Empirical: a(n) = 729*n - 987 for n>4.
%F A188864 Empirical g.f.: x*(128 + 321*x + 194*x^2 + 68*x^3 + 16*x^4 + 2*x^5) / (1 - x)^2. - _Colin Barker_, May 01 2018
%e A188864 Some solutions for 3 X 7:
%e A188864 ..1..1..1..1..1..1..1....1..1..1..1..1..1..1....1..1..1..1..1..1..1
%e A188864 ..1..1..1..1..1..1..1....1..1..0..1..1..1..1....1..1..1..1..1..1..1
%e A188864 ..1..1..1..1..1..1..0....0..0..0..0..0..1..1....1..1..0..0..1..1..1
%Y A188864 Cf. A188866.
%K A188864 nonn
%O A188864 1,1
%A A188864 _R. H. Hardin_, Apr 12 2011