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.

A228679 Number of nX4 binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally.

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%I A228679 #9 Sep 02 2013 13:01:06
%S A228679 8,40,216,1152,6160,32928,176032,941056,5030848,26894720,143778176,
%T A228679 768632832,4109082880,21967006208,117434808832,627802177536,
%U A228679 3356207397888,17942161561600,95918137153536,512774840614912
%N A228679 Number of nX4 binary arrays with no two ones adjacent horizontally, diagonally or antidiagonally.
%C A228679 Column 4 of A228683
%H A228679 R. H. Hardin, <a href="/A228679/b228679.txt">Table of n, a(n) for n = 1..210</a>
%F A228679 Empirical: a(n) = 6*a(n-1) -2*a(n-2) -8*a(n-3).
%F A228679 Empirical: G.f. -8*x*(-1+x+x^2) / ( 1-6*x+2*x^2+8*x^3 ). - _R. J. Mathar_, Aug 31 2013
%e A228679 Some solutions for n=4
%e A228679 ..0..0..1..0....0..1..0..1....1..0..0..0....0..0..0..1....1..0..0..1
%e A228679 ..0..0..0..0....0..0..0..1....0..0..0..1....1..0..0..0....1..0..0..0
%e A228679 ..1..0..1..0....1..0..0..0....0..0..0..1....1..0..0..1....0..0..0..0
%e A228679 ..1..0..1..0....0..0..0..0....1..0..0..1....1..0..0..0....1..0..0..0
%K A228679 nonn
%O A228679 1,1
%A A228679 _R. H. Hardin_ Aug 30 2013