cp's OEIS Frontend

A188840 Number of n X 6 binary arrays without the pattern 0 1 diagonally or vertically.

%I A188840 #8 Apr 30 2018 14:10:02
%S A188840 64,377,1093,2380,4488,7752,12597,19551,29260,42504,60214,83490,
%T A188840 113620,152100,200655,261261,336168,427924,539400,673816,834768,
%U A188840 1026256,1252713,1519035,1830612,2193360,2613754,3098862,3656380,4294668,5022787,5850537
%N A188840 Number of n X 6 binary arrays without the pattern 0 1 diagonally or vertically.
%C A188840 Column 6 of A188843.
%H A188840 R. H. Hardin, <a href="/A188840/b188840.txt">Table of n, a(n) for n = 1..200</a>
%F A188840 Empirical: a(n) = (1/720)*n^6 + (17/240)*n^5 + (203/144)*n^4 + (647/48)*n^3 + (2659/45)*n^2 + (1379/20)*n - 143 for n>3.
%F A188840 Empirical g.f.: x*(64 - 71*x - 202*x^2 + 406*x^3 - 174*x^4 - 88*x^5 + 67*x^6 + 6*x^7 - 6*x^8 - x^9) / (1 - x)^7. - _Colin Barker_, Apr 30 2018
%e A188840 Some solutions for 3 X 6:
%e A188840 ..1..1..1..1..1..1....1..1..1..1..1..1....0..0..0..1..1..0....1..1..1..1..1..1
%e A188840 ..1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..0..1..0....1..1..1..1..0..0
%e A188840 ..0..0..1..1..0..1....0..0..0..1..1..0....0..0..0..0..0..0....1..1..0..1..0..0
%Y A188840 Cf. A188843.
%K A188840 nonn
%O A188840 1,1
%A A188840 _R. H. Hardin_, Apr 12 2011