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A254824 Number of length n 1..(5+1) arrays with every leading partial sum divisible by 2, 3 or 5 1

%I #4 Feb 08 2015 10:26:23

%S 5,23,95,381,1569,6898,31005,138809,621384,2737649,11693062,48939262,

%T 206093655,888369973,3911583617,17393709148,77155024993,337898306476,

%U 1455242539889,6197272645272,26405014549312,113717559106005

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

%C Column 5 of A254827

%H R. H. Hardin, <a href="/A254824/b254824.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -6*a(n-2) +10*a(n-3) -15*a(n-4) +25*a(n-5) +482*a(n-6) +5445*a(n-7) +20356*a(n-8) +42542*a(n-9) +59206*a(n-10) +59660*a(n-11) +45960*a(n-12) +27350*a(n-13) +11930*a(n-14) +3425*a(n-15) +500*a(n-16)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)