cp's OEIS Frontend

A204543 Number of (n+1)X2 0..1 arrays with permanents of 2X2 subblocks differing from neighboring permanents.

%I A204543 #7 Jul 22 2025 18:07:43
%S A204543 16,26,41,56,80,112,162,224,322,448,646,896,1290,1792,2582,3584,5162,
%T A204543 7168,10326,14336,20650,28672,41302,57344,82602,114688,165206,229376,
%U A204543 330410,458752,660822,917504,1321642,1835008,2643286,3670016,5286570
%N A204543 Number of (n+1)X2 0..1 arrays with permanents of 2X2 subblocks differing from neighboring permanents.
%H A204543 R. H. Hardin, <a href="/A204543/b204543.txt">Table of n, a(n) for n = 1..210</a>
%F A204543 Empirical: a(n) = a(n-2) +2*a(n-4) for n>6
%F A204543 Empirical: a(2k)=14*2^k for k>1
%e A204543 Some solutions for n=8
%e A204543 ..1..1....1..1....1..1....0..0....0..1....0..0....1..1....1..0....0..1....1..0
%e A204543 ..1..0....0..1....1..0....0..1....1..0....1..1....1..0....1..0....1..0....0..1
%e A204543 ..1..0....0..1....1..0....1..1....1..0....0..1....1..0....1..1....1..0....0..1
%e A204543 ..1..1....1..1....0..1....1..1....0..1....0..1....0..1....1..1....1..1....1..0
%e A204543 ..1..1....1..1....0..1....1..0....0..1....1..1....0..1....1..0....1..1....1..0
%e A204543 ..0..1....0..1....1..1....1..0....1..1....1..1....1..1....1..0....0..1....0..1
%e A204543 ..0..1....0..1....1..1....0..1....1..1....0..1....1..1....1..1....0..1....0..1
%e A204543 ..1..0....1..0....0..1....0..1....0..1....0..1....1..0....1..1....1..1....1..1
%e A204543 ..1..0....0..0....0..1....1..0....0..0....1..1....0..0....1..0....0..0....0..0
%Y A204543 Even terms are A005009(n/2+1) for n>=4
%K A204543 nonn
%O A204543 1,1
%A A204543 _R. H. Hardin_ Jan 16 2012