A185744 - OEIS

%I #5 Mar 31 2012 12:36:02

%S 40,544,4056,33768,273928,2237680,18242392,148782184,1213377952,

%T 9895860408,80705698992,658196978784,5367941569504,43778383255816,

%U 357035645118432,2911812758671528,23747359117977160,193672159175543352

%N Number of (n+1)X4 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace

%C Column 3 of A185750

%H R. H. Hardin, <a href="/A185744/b185744.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=9*a(n-1)-17*a(n-2)+73*a(n-3)+92*a(n-4)-240*a(n-5)+1138*a(n-6)-856*a(n-7)-4412*a(n-8)+5722*a(n-9)+7036*a(n-10)-23333*a(n-11)-7776*a(n-12)+19505*a(n-13)+27120*a(n-14)+27301*a(n-15)-16807*a(n-16)-83683*a(n-17)+14978*a(n-18)+28073*a(n-19)+37181*a(n-20)-34392*a(n-21)+3645*a(n-22)-1339*a(n-23)-5386*a(n-24)-26621*a(n-25)+37448*a(n-26)-1164*a(n-27)+4386*a(n-28)-4788*a(n-29)-5243*a(n-30)+3211*a(n-31)-193*a(n-32)+52*a(n-33)+344*a(n-34)+16*a(n-35)-128*a(n-36)

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 01 2011