A204568 - OEIS

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

%S 1682,80518,4220392,226207388,12184154082,657035534014,35439471578008,

%T 1911668983879844,103120042408983914,5562564379359047286,

%U 300059383373323671216,16185997942290302282060,873115606316546208696882

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 4 of A204572

%H R. H. Hardin, <a href="/A204568/b204568.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 66*a(n-1) -371*a(n-2) -20540*a(n-3) +324789*a(n-4) -1657430*a(n-5) +2548727*a(n-6) +4497416*a(n-7) -19534224*a(n-8) +23561568*a(n-9) -10191744*a(n-10) -1130112*a(n-11) +1975104*a(n-12) -373248*a(n-13)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 16 2012