A230684 - OEIS

%I #4 Oct 27 2013 17:59:23

%S 0,0,0,360,15624,575280,19355400,624983184,19756767240,617202347472,

%T 19153654203240,592124427966096,18264762693276552,562673517711950736,

%U 17321016136718789352,532966801486271706576,16395167381657872458888

%N Number of nX5 0..6 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 7, and upper left element zero

%C Column 5 of A230686

%H R. H. Hardin, <a href="/A230684/b230684.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 48*a(n-1) -482*a(n-2) -2148*a(n-3) +21795*a(n-4) -62688*a(n-5) +379488*a(n-6) +4040700*a(n-7) -31968072*a(n-8) +33656400*a(n-9) +2127888*a(n-10) -7063200*a(n-11) for n>12

%e Some solutions for n=4

%e ..0..1..2..1..5....0..1..2..1..0....0..1..0..5..6....0..1..2..3..4

%e ..2..3..0..6..5....0..3..4..6..5....2..3..4..0..1....0..1..0..5..6

%e ..4..5..6..4..3....4..5..5..4..3....2..1..1..2..3....0..6..5..0..1

%e ..4..0..1..2..1....6..0..1..2..1....0..6..5..4..3....5..4..3..2..1

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 27 2013