A205069 - OEIS

%I #5 Mar 31 2012 12:37:04

%S 584,244,347,528,856,1232,1852,2640,4056,5776,8948,12784,19776,28208,

%T 43622,62192,96204,137168,212276,302544,468324,667280,1033266,1471728,

%U 2279696,3246000,5029516,7159280,11095980,15790288,24479172,34826576

%N Number of (n+1)X6 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors

%C Column 5 of A205072

%H R. H. Hardin, <a href="/A205069/b205069.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) -2*a(n-6) -3*a(n-8) -3*a(n-10) -a(n-12) -a(n-14) +5*a(n-16) +9*a(n-18) +11*a(n-20) +11*a(n-22) +10*a(n-24) +6*a(n-26) +3*a(n-28) +a(n-30) for n>34

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 21 2012