%I #4 Jun 06 2015 08:36:46
%S 2,6,18,50,105,181,316,560,969,1777,3699,8370,18297,36978,73912,
%T 155816,335928,697052,1360137,2539247,4757378,9452951,20357207,
%U 46362252,107298090,244529803,538892048,1146917302,2392827002,4981802096
%N Number of length n 1..(2+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7
%C Column 2 of A258631
%H R. H. Hardin, <a href="/A258625/b258625.txt">Table of n, a(n) for n = 1..210</a>
%e Some solutions for n=8
%e ..3....2....3....2....3....3....2....2....3....2....2....2....3....2....3....2
%e ..3....3....2....3....1....1....1....1....1....1....3....3....2....2....1....3
%e ..1....2....3....2....3....3....2....2....2....2....2....3....1....3....1....2
%e ..1....1....1....1....2....2....1....3....1....2....1....1....3....2....1....1
%e ..2....2....3....2....3....3....3....2....2....1....1....3....3....1....1....1
%e ..2....2....3....2....2....2....3....2....3....2....3....3....2....2....3....3
%e ..3....2....1....3....1....2....2....3....2....2....3....3....2....3....2....2
%e ..1....1....2....1....1....2....1....1....1....3....1....3....2....3....2....2
%Y Cf. A258631
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 06 2015