A204478 - OEIS

%I #5 Mar 31 2012 12:37:02

%S 1157,3147,608,1587,2632,9290,34964,124697,471260,1787757,6755022,

%T 25607122,97087698,368019431,1395257904,5289834511,20055078524,

%U 76034541226,288268853192,1092909563581,4143534617092,15709332458233

%N Number of (n+2)X5 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

%C Column 3 of A204483

%H R. H. Hardin, <a href="/A204478/b204478.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012