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

%I #4 Jun 06 2015 08:45:51

%S 33,316,2115,8432,40789,105719,290231,615072,1376125,2357746,4980833,

%T 7842482,14253622,23019880,37955879,53553640,88436758,120061819,

%U 183877123,258843359,370889319,477163075,687457306,913900212,1241075611

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

%C Row 7 of A258631

%H R. H. Hardin, <a href="/A258638/b258638.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=8

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

%e ..6....7....3....2....1....4....7....4....4....7....2....3....1....8....1....5

%e ..1....3....1....6....4....1....1....3....9....5....2....4....6....8....3....7

%e ..9....2....8....8....7....3....8....5....9....6....3....9....7....9....8....7

%e ..8....1....4....3....9....6....3....1....6....7....3....6....9....1....6....5

%e ..6....5....2....5....2....9....6....7....3....8....2....2....3....4....5....4

%e ..1....8....1....2....6....8....8....2....2....5....6....1....6....7....8....5

%Y Cf. A258631

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 06 2015