A205622 - OEIS

%I #5 Mar 31 2012 12:37:06

%S 770,8004,94116,1103436,13072068,153531936,1819019544,21373648800,

%T 253152022176,2975505412608,35231638122048,414226627999488,

%U 4903309297903872,57664764519684096,682417731549562368

%N Number of (n+1)X5 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order

%C Column 4 of A205626

%H R. H. Hardin, <a href="/A205622/b205622.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 136*a(n-2) +64*a(n-3) -264*a(n-4) -384*a(n-5) -1920*a(n-6) -7168*a(n-8) for n>9

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2012