cp's OEIS Frontend

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.

A188823 Number of n X 8 binary arrays without the pattern 0 1 diagonally or antidiagonally.

This page as a plain text file.
%I A188823 #10 Apr 30 2018 13:56:18
%S A188823 256,3025,11664,28561,53824,87616,129600,179776,238144,304704,379456,
%T A188823 462400,553536,652864,760384,876096,1000000,1132096,1272384,1420864,
%U A188823 1577536,1742400,1915456,2096704,2286144,2483776,2689600,2903616,3125824
%N A188823 Number of n X 8 binary arrays without the pattern 0 1 diagonally or antidiagonally.
%C A188823 Column 8 of A188824.
%H A188823 R. H. Hardin, <a href="/A188823/b188823.txt">Table of n, a(n) for n = 1..200</a>
%F A188823 Empirical: a(n) = 4096*n^2 - 11264*n + 7744 for n>4.
%F A188823 Empirical g.f.: x*(256 + 2257*x + 3357*x^2 + 2388*x^3 + 108*x^4 + 163*x^5 - 337*x^6) / (1 - x)^3. - _Colin Barker_, Apr 30 2018
%e A188823 Some solutions for 3 X 8:
%e A188823 ..1..1..1..0..1..0..1..0....1..1..0..1..1..1..1..1....0..1..1..1..1..1..1..1
%e A188823 ..0..1..0..1..0..1..0..0....1..0..1..0..1..1..0..1....0..0..1..0..1..1..1..0
%e A188823 ..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..1
%Y A188823 Cf. A188824.
%K A188823 nonn
%O A188823 1,1
%A A188823 _R. H. Hardin_, Apr 11 2011