A222141 - OEIS

%I #4 Feb 09 2013 07:00:07

%S 256,114244,50999956,22767656980,10164078082036,4537511642094436,

%T 2025664524518719732,904309916809657591444,403707729455406641892052,

%U 180225747607432250658675940,80457513519867024627155058004

%N Number of nX5 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero

%C Column 5 of A222144

%H R. H. Hardin, <a href="/A222141/b222141.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 542*a(n-1) -45648*a(n-2) +1362782*a(n-3) -14182035*a(n-4) -10420216*a(n-5) +672452128*a(n-6) -1495546560*a(n-7)

%e Some solutions for n=3

%e ..0..1..4..4..0....0..0..1..3..0....0..0..0..0..0....0..1..3..3..0

%e ..0..1..4..4..1....0..1..2..4..0....0..1..1..1..1....0..2..4..4..1

%e ..0..1..4..2..4....0..1..2..2..2....0..1..1..3..1....0..0..0..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 09 2013