|
%I #10 Mar 31 2018 17:00:58
%S 36,528,7792,115760,1724208,25713200,383674672,5726373936,85476349744,
%T 1275953305136,19047317685552,284339706389552,4244663837569840,
%U 63365088706048560,945926138351149360,14120972327885029424
%N 1/120 the number of (n+1) X 4 0..4 arrays with every 2 X 2 subblock containing four distinct values.
%C Column 3 of A183622.
%H R. H. Hardin, <a href="/A183616/b183616.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 21*a(n-1) - 84*a(n-2) - 112*a(n-3) + 192*a(n-4).
%F Empirical g.f.: 4*x*(9 - 57*x - 68*x^2 + 128*x^3) / ((1 - 5*x - 12*x^2)*(1 - 16*x + 16*x^2)). - _Colin Barker_, Mar 30 2018
%e Some solutions with the first square being 0123 for 3 X 4:
%e 0 1 2 1 0 1 0 4 0 1 0 1 0 1 0 1 0 1 0 3
%e 2 3 0 4 2 3 2 3 2 3 2 3 2 3 2 4 2 3 2 4
%e 1 4 1 2 0 4 1 4 1 0 1 0 4 0 1 0 0 4 0 3
%Y Cf. A183622.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2011
| 