A185568 - OEIS

%I #8 Mar 31 2012 12:36:02

%S 0,704,1936,34816,172992,2053216,12950528,131772320,929033280,

%T 8815545344,65895014896,602776037920,4662229953024,41734072588384,

%U 329907085742480,2911856599577984,23363245790844864,204187515832240736

%N Number of (n+1)X2 0..3 arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum

%C Column 1 of A185571

%H R. H. Hardin, <a href="/A185568/b185568.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=10*a(n-1)+60*a(n-2)-864*a(n-3)+1955*a(n-4)+8606*a(n-5)-114460*a(n-6)+519812*a(n-7)-967685*a(n-8)-601250*a(n-9)+29248052*a(n-10)-142231024*a(n-11)+606947468*a(n-12)-1737563336*a(n-13)+2990726160*a(n-14)-1186538304*a(n-15)-43406163408*a(n-16)+180796251360*a(n-17)-851333675072*a(n-18)+2254070076672*a(n-19)-7178768320512*a(n-20)+14997302931456*a(n-21)-37689333792768*a(n-22)+64400381116416*a(n-23)-132751562784768*a(n-24)+185092667965440*a(n-25)-315476853719040*a(n-26)+350433362313216*a(n-27)-486487023943680*a(n-28)+399408277487616*a(n-29)-425165901004800*a(n-30)+204079632482304*a(n-31)-142657607172096*a(n-32)

%e Some solutions for 3X2

%e ..0..3....1..1....2..0....1..0....0..0....3..0....2..0....2..2....2..1....0..3

%e ..3..1....1..1....0..3....3..1....2..0....1..2....1..2....1..0....0..3....3..1

%e ..1..2....2..0....1..1....0..1....0..0....1..2....0..2....3..1....2..1....3..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 31 2011