A234156 - OEIS

%I #4 Dec 20 2013 07:30:15

%S 1108,21428,411712,7952532,153793284,2976757624,57647946980,

%T 1116833738020,21642612331360,419482808622564,8131644594825316,

%U 157646909459448984,3056492082359701508,59262933197614888180

%N Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Column 3 of A234161

%H R. H. Hardin, <a href="/A234156/b234156.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 38*a(n-1) -412*a(n-2) +740*a(n-3) +5548*a(n-4) -11466*a(n-5) -28213*a(n-6) +27544*a(n-7) +43860*a(n-8) -11608*a(n-9) -8172*a(n-10) +1584*a(n-11)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013