A234424 - OEIS

%I #5 Dec 25 2013 18:19:41

%S 448,4516,44140,453728,4641220,47946684,494928936,5118554604,

%T 52929477520,547525514800,5663733188684,58591028515180,

%U 606119482599020,6270340071097572,64866996054961716,671054166304469780

%N Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 14 and no adjacent elements equal

%C Column 1 of A234428

%H R. H. Hardin, <a href="/A234424/b234424.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +64*a(n-2) -451*a(n-3) -1542*a(n-4) +7659*a(n-5) +16809*a(n-6) -48643*a(n-7) -76610*a(n-8) +75468*a(n-9) +91816*a(n-10) -33928*a(n-11) -30960*a(n-12)

%e Some solutions for n=3

%e ..2..0....7..0....4..7....0..6....1..5....7..5....0..3....6..7....6..7....5..0

%e ..5..7....6..1....0..6....3..7....0..7....0..2....7..6....2..0....0..6....3..5

%e ..0..3....2..4....2..7....0..2....5..6....7..4....6..0....7..3....4..7....5..0

%e ..2..7....6..1....0..3....5..0....7..1....1..5....7..6....5..0....0..1....7..6

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2013