cp's OEIS Frontend

A188839 Number of n X 5 binary arrays without the pattern 0 1 diagonally or vertically.

%I A188839 #8 Apr 30 2018 13:54:29
%S A188839 32,144,364,728,1288,2108,3264,4845,6954,9709,13244,17710,23276,30130,
%T A188839 38480,48555,60606,74907,91756,111476,134416,160952,191488,226457,
%U A188839 266322,311577,362748,420394,485108,557518,638288,728119,827750,937959,1059564
%N A188839 Number of n X 5 binary arrays without the pattern 0 1 diagonally or vertically.
%C A188839 Column 5 of A188843.
%H A188839 R. H. Hardin, <a href="/A188839/b188839.txt">Table of n, a(n) for n = 1..200</a>
%F A188839 Empirical: a(n) = (1/120)*n^5 + (7/24)*n^4 + (89/24)*n^3 + (473/24)*n^2 + (1877/60)*n - 33 for n>2.
%F A188839 Empirical g.f.: x*(32 - 48*x - 20*x^2 + 64*x^3 - 20*x^4 - 12*x^5 + 4*x^6 + x^7) / (1 - x)^6. - _Colin Barker_, Apr 30 2018
%e A188839 Some solutions for 3 X 5:
%e A188839 ..1..1..0..0..1....0..1..1..1..1....1..1..1..0..1....1..1..1..1..1
%e A188839 ..1..1..0..0..0....0..0..0..0..0....1..1..1..0..0....0..1..0..1..0
%e A188839 ..0..1..0..0..0....0..0..0..0..0....1..0..1..0..0....0..0..0..0..0
%Y A188839 Cf. A188843.
%K A188839 nonn
%O A188839 1,1
%A A188839 _R. H. Hardin_, Apr 12 2011