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Number of length n 1..(6+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11
1

%I #4 Feb 10 2015 20:03:06

%S 6,40,230,1160,5755,29335,151481,783265,4002105,20279110,104275987,

%T 550230917,2941895670,15665561690,82429793685,429107106755,

%U 2226368846505,11641022833363,61974906638648,336998483557954,1856970099873812

%N Number of length n 1..(6+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11

%C Column 6 of A254947

%H R. H. Hardin, <a href="/A254945/b254945.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..3....2....6....5....5....4....5....7....4....3....5....4....2....2....7....4

%e ..5....5....2....2....3....3....7....1....3....7....6....6....1....3....4....4

%e ..4....5....3....7....2....3....6....4....4....4....4....2....6....2....3....3

%e ..3....3....5....7....6....5....6....3....7....4....6....3....1....5....1....3

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 10 2015