A254830 - OEIS

%I #4 Feb 08 2015 10:31:04

%S 4,13,30,54,95,121,185,259,376,450,643,750,992,1249,1580,1768,2232,

%T 2462,2998,3501,4117,4459,5276,5975,6855,7676,8696,9261,10648,11273,

%U 12617,13921,15437,16899,18790,19699,21588,23355,25521,26644,29216,30450,33004

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

%C Row 3 of A254827

%H R. H. Hardin, <a href="/A254830/b254830.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-30) -3*a(n-31) -3*a(n-60) +3*a(n-61) +a(n-90) -a(n-91)

%e Some solutions for n=4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 08 2015