This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A188842 #7 Jul 22 2025 11:24:35 %S A188842 256,2584,9841,25213,53296,100947,177859,297275,476905,740025,1116765, %T A188842 1645605,2375100,3365856,4692780,6447628,8741876,11709940,15512772, %U A188842 20341860,26423661,34024497,43455945,55080753,69319315,86656739 %N A188842 Number of nX8 binary arrays without the pattern 0 1 diagonally or vertically. %C A188842 Column 8 of A188843 %H A188842 R. H. Hardin, <a href="/A188842/b188842.txt">Table of n, a(n) for n = 1..200</a> %F A188842 Empirical: a(n) = (1/40320)*n^8 + (23/10080)*n^7 + (17/192)*n^6 + (269/144)*n^5 + (43949/1920)*n^4 + (228401/1440)*n^3 + (1054411/2016)*n^2 + (9941/56)*n - 2210 for n>5 %e A188842 Some solutions for 3X8 %e A188842 ..1..1..0..1..1..1..1..1....0..1..1..1..1..1..1..1....1..1..1..1..1..1..1..1 %e A188842 ..1..1..0..0..1..1..1..1....0..0..1..0..0..1..0..1....1..1..1..0..0..0..0..0 %e A188842 ..1..0..0..0..0..1..0..1....0..0..0..0..0..0..0..0....0..0..1..0..0..0..0..0 %K A188842 nonn %O A188842 1,1 %A A188842 _R. H. Hardin_ Apr 12 2011