cp's OEIS Frontend

A188828 Number of 6 X n binary arrays without the pattern 0 1 diagonally or antidiagonally.

%I A188828 #9 Apr 30 2018 14:10:52
%S A188828 64,49,169,576,2025,7056,24964,87616,310249,1092025,3865156,13623481,
%T A188828 48191364,169989444,601034256,2121063025,7496962225,26464782400,
%U A188828 93519144481,330192741376,1166628971236,4119600902400,14553774833481
%N A188828 Number of 6 X n binary arrays without the pattern 0 1 diagonally or antidiagonally.
%C A188828 Row 6 of A188824.
%H A188828 R. H. Hardin, <a href="/A188828/b188828.txt">Table of n, a(n) for n = 1..200</a>
%F A188828 Empirical: a(n) = 4*a(n-1) +9*a(n-2) -45*a(n-3) +108*a(n-5) -42*a(n-6) -57*a(n-7) +18*a(n-8) +7*a(n-9) -a(n-10) for n>11.
%F A188828 Empirical g.f.: x*(64 - 207*x - 603*x^2 + 2339*x^3 + 405*x^4 - 5535*x^5 + 1831*x^6 + 2835*x^7 - 840*x^8 - 340*x^9 + 48*x^10) / ((1 - x)*(1 - 6*x + 9*x^2 - x^3)*(1 + 3*x - x^3)*(1 - 3*x^2 - x^3)). - _Colin Barker_, Apr 30 2018
%e A188828 Some solutions for 6 X 3:
%e A188828 ..1..1..1....1..1..1....0..1..0....1..1..1....0..1..1....1..1..1....1..1..1
%e A188828 ..0..1..1....1..1..0....1..0..1....1..1..1....1..0..1....1..1..1....1..0..1
%e A188828 ..1..0..1....1..0..1....0..1..0....1..1..0....0..1..0....1..1..1....0..0..0
%e A188828 ..0..1..0....0..1..0....1..0..0....1..0..1....0..0..1....1..1..1....0..0..0
%e A188828 ..1..0..0....1..0..0....0..0..0....0..1..0....0..0..0....1..0..0....0..0..0
%e A188828 ..0..0..0....0..0..0....0..0..0....1..0..0....0..0..0....0..0..0....0..0..0
%Y A188828 Cf. A188824.
%K A188828 nonn
%O A188828 1,1
%A A188828 _R. H. Hardin_, Apr 11 2011