A258626 - OEIS

%I #4 Jun 06 2015 08:37:25

%S 3,12,45,130,331,834,2115,5726,16873,50003,142116,400694,1157686,

%T 3355089,9458656,26092189,72995360,213171551,647222852,1987679608,

%U 6016219942,17773719595,51564943489,148469880307,426108755766,1217647287273

%N Number of length n 1..(3+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7

%C Column 3 of A258631

%H R. H. Hardin, <a href="/A258626/b258626.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=8

%e ..2....3....4....2....2....2....3....3....3....2....2....4....3....3....2....2

%e ..2....3....2....1....2....1....4....2....1....1....2....2....3....1....1....3

%e ..3....1....4....2....2....3....3....3....2....4....1....1....1....4....1....2

%e ..1....1....4....2....2....2....2....4....2....3....4....1....3....4....2....1

%e ..1....1....4....2....4....2....3....2....4....4....3....2....4....2....2....1

%e ..1....3....2....1....3....2....1....1....2....4....3....2....2....2....4....3

%e ..4....2....1....2....3....3....2....1....1....3....3....4....2....2....4....4

%e ..4....2....4....2....4....3....2....4....1....1....2....4....3....2....4....2

%Y Cf. A258631

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 06 2015