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%I #4 Jun 06 2015 08:39:21
%S 6,36,179,830,4021,20462,105719,546640,2789557,14124297,72747664,
%T 384855118,2060047003,10964114671,57622430383,299660342435,
%U 1554362454308,8134330914022,43385023307315,236387936969270,1304057368544653
%N Number of length n 1..(6+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7
%C Column 6 of A258631
%H R. H. Hardin, <a href="/A258629/b258629.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=8
%e ..2....2....2....2....2....2....2....2....2....2....2....2....2....2....2....2
%e ..3....1....5....2....3....5....1....2....2....6....4....4....2....4....6....6
%e ..2....7....2....5....1....3....7....1....1....2....1....2....1....4....2....4
%e ..2....5....3....3....1....2....4....7....3....4....1....6....2....2....2....2
%e ..7....1....2....3....3....6....2....6....7....7....6....1....1....2....4....1
%e ..4....6....1....3....4....2....5....6....5....5....1....3....6....7....2....5
%e ..2....3....5....6....1....5....6....2....7....2....5....7....2....5....4....6
%e ..5....3....2....2....1....7....6....2....3....4....6....7....2....2....6....2
%Y Cf. A258631
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 06 2015
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