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%I #4 Feb 08 2015 10:27:01
%S 5,26,121,547,2644,13504,69858,361448,1827707,8901990,42510428,
%T 205423322,1020648167,5181556417,26415622622,133002076952,
%U 656895200707,3202519957155,15628783471819,77223050176456,386855148392695
%N Number of length n 1..(6+1) arrays with every leading partial sum divisible by 2, 3 or 5
%C Column 6 of A254827
%H R. H. Hardin, <a href="/A254825/b254825.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 171*a(n-5) +3374*a(n-6) +23214*a(n-7) +87203*a(n-8) +214299*a(n-9) +377802*a(n-10) +503302*a(n-11) +522736*a(n-12) +432416*a(n-13) +289894*a(n-14) +159820*a(n-15) +73076*a(n-16) +27617*a(n-17) +8448*a(n-18) +2006*a(n-19) +345*a(n-20) +38*a(n-21) +2*a(n-22)
%e Some solutions for n=4
%e ..4....4....5....4....5....6....2....3....4....4....4....2....3....5....3....6
%e ..2....4....4....5....4....2....3....2....5....4....4....1....6....1....6....4
%e ..6....1....5....5....5....2....7....5....3....4....6....3....1....6....3....6
%e ..2....3....4....7....7....4....4....6....4....3....7....4....5....4....4....5
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 08 2015
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