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.

A188708 Number of 4 X n binary arrays without the pattern 0 0 diagonally or vertically.

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%I A188708 #13 Apr 28 2018 12:49:14
%S A188708 8,49,304,1876,11556,71152,438048,2696784,16602304,102209216,
%T A188708 629233216,3873764352,23848153088,146816985344,903853103104,
%U A188708 5564413613056,34256339608576,210893165924352,1298326906544128,7992922619695104
%N A188708 Number of 4 X n binary arrays without the pattern 0 0 diagonally or vertically.
%C A188708 Row 4 of A188706.
%H A188708 R. H. Hardin, <a href="/A188708/b188708.txt">Table of n, a(n) for n = 1..200</a>
%F A188708 Empirical: a(n) = 8*a(n-1) - 12*a(n-2) + 4*a(n-3).
%F A188708 Empirical g.f.: x*(8 - 15*x + 8*x^2) / (1 - 8*x + 12*x^2 - 4*x^3). - _Colin Barker_, Apr 28 2018
%e A188708 Some solutions for 4 X 3:
%e A188708   1 0 0   1 1 1   1 1 1   0 1 1   1 1 1   1 1 1   0 1 1
%e A188708   0 1 1   0 0 0   1 1 0   1 1 1   1 1 0   1 1 1   1 1 1
%e A188708   1 1 1   1 1 1   1 1 1   1 1 1   0 1 1   1 0 0   1 1 1
%e A188708   1 1 0   1 1 0   0 1 1   1 0 0   1 1 1   1 1 1   0 0 0
%Y A188708 Cf. A188706.
%K A188708 nonn
%O A188708 1,1
%A A188708 _R. H. Hardin_, Apr 08 2011