A205316 - OEIS

%I #5 Mar 31 2012 12:37:05

%S 1460,35500,882182,22091516,554916092,13956665238,351210375464,

%T 8839958693704,222522561716050,5601638723985320,141014378310113564,

%U 3549888849256712462,89364987835152404176,2249679176828409331216

%N Number of (n+1)X7 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order

%C Column 6 of A205318

%H R. H. Hardin, <a href="/A205316/b205316.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 56*a(n-1) -1164*a(n-2) +12439*a(n-3) -78536*a(n-4) +314610*a(n-5) -829844*a(n-6) +1464316*a(n-7) -1728640*a(n-8) +1345964*a(n-9) -671600*a(n-10) +205552*a(n-11) -36416*a(n-12) +3392*a(n-13) -128*a(n-14)

%e Some solutions for n=4

%e ..0..0..0..1..0..0..0....0..0..1..0..0..0..1....0..0..1..1..1..0..1

%e ..1..1..1..1..0..1..0....0..1..1..0..1..0..1....0..1..1..0..0..0..1

%e ..1..0..1..0..0..1..0....1..1..0..0..1..1..1....1..1..0..0..1..1..1

%e ..1..1..1..0..1..1..1....1..0..0..1..1..0..0....1..0..0..1..1..0..0

%e ..0..1..0..0..1..0..0....0..0..1..1..0..0..1....0..0..1..1..0..0..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 25 2012