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%I #4 Jun 06 2015 08:39:58
%S 7,46,257,1408,8116,48479,290231,1702510,9898375,58647747,356650813,
%T 2191890734,13394053841,80981875492,487503501433,2957456918572,
%U 18257437602958,114623886164224,722845143635980,4506034402708909
%N Number of length n 1..(7+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7
%C Column 7 of A258631
%H R. H. Hardin, <a href="/A258630/b258630.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=8
%e ..3....3....2....4....2....2....2....4....3....3....4....3....2....4....2....2
%e ..2....2....2....2....1....1....1....1....2....1....2....2....3....1....1....2
%e ..3....2....2....3....3....2....2....2....4....4....4....2....1....1....1....4
%e ..2....3....3....3....3....2....2....1....1....1....4....3....4....2....3....4
%e ..6....8....1....6....5....7....8....2....4....6....2....2....6....1....8....6
%e ..8....7....4....8....1....4....1....4....7....1....2....3....4....7....1....3
%e ..8....8....1....6....7....2....8....7....6....2....4....5....4....4....8....7
%e ..6....6....1....4....6....7....3....4....7....6....2....6....3....4....4....5
%Y Cf. A258631
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 06 2015
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