A206516 - OEIS

%I #5 Mar 31 2012 12:37:11

%S 2786,695541,177097738,45142367398,11507555684346,2933481908580803,

%T 747797195466172046,190626930556386514119,48594227014894390255783,

%U 12387540901864509015493628,3157806575432575464130353243

%N Number of (n+1)X4 0..3 arrays with every 2X3 or 3X2 subblock having no more than four equal edges, and new values 0..3 introduced in row major order

%C Column 3 of A206521

%H R. H. Hardin, <a href="/A206516/b206516.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 238*a(n-1) +4150*a(n-2) +44332*a(n-3) -679650*a(n-4) -12043680*a(n-5) -129978174*a(n-6) -183422200*a(n-7) -661869709*a(n-8) +1822894708*a(n-9) +3929447237*a(n-10) +24688694694*a(n-11) +16930214447*a(n-12) +31521818926*a(n-13) -66759146931*a(n-14) +41508795870*a(n-15) -100230885135*a(n-16) +89003825784*a(n-17) -52703068122*a(n-18) +46958310468*a(n-19) -22966596792*a(n-20) +7564885488*a(n-21) -2550916800*a(n-22)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 08 2012