%I #4 Feb 10 2015 20:02:31
%S 5,30,157,716,3051,13285,59419,266171,1191961,5299332,23303276,
%T 103184617,469076970,2179606815,10148967055,46714456830,212033128454,
%U 952381008960,4261219800255,19166244488266,87497696208789,407910135348992
%N Number of length n 1..(5+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11
%C Column 5 of A254947
%H R. H. Hardin, <a href="/A254944/b254944.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=4
%e ..3....4....4....4....2....6....2....2....4....4....6....4....2....5....3....4
%e ..2....5....4....1....5....2....4....1....3....1....3....6....3....2....1....4
%e ..3....6....3....5....2....2....4....2....2....2....1....1....2....4....4....6
%e ..3....5....4....2....3....1....6....1....2....2....1....5....4....3....2....4
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 10 2015