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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.

A203536 Number of nX2 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.

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%I A203536 #11 Jun 02 2025 07:36:01
%S A203536 0,4,4,16,64,196,676,2304,7744,26244,88804,300304,1016064,3437316,
%T A203536 11628100,39337984,133079296,450203524,1523028676,5152368400,
%U A203536 17430336576,58966408900,199481929956,674842534144,2282975946304,7723252297476
%N A203536 Number of nX2 0..2 arrays with every element neighboring horizontally or vertically both a 0 and a 1.
%C A203536 Column 2 of A203542
%C A203536 (A135491(n-2))^2 for n>=3
%H A203536 R. H. Hardin, <a href="/A203536/b203536.txt">Table of n, a(n) for n = 1..210</a>
%F A203536 Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) -a(n-4) -a(n-6)
%e A203536 Some solutions for n=5
%e A203536 ..0..1....1..1....0..0....1..0....0..0....0..1....0..0....0..1....1..0....1..1
%e A203536 ..0..1....0..0....1..1....1..0....1..1....0..1....1..1....0..1....1..0....0..0
%e A203536 ..2..1....1..2....1..2....0..2....2..0....1..2....2..2....0..1....0..0....2..1
%e A203536 ..0..0....1..0....0..0....0..1....1..0....1..0....0..0....0..0....0..1....0..1
%e A203536 ..1..1....1..0....1..1....0..1....1..0....1..0....1..1....1..1....0..1....0..1
%K A203536 nonn
%O A203536 1,2
%A A203536 _R. H. Hardin_ Jan 02 2012