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%I #4 Feb 10 2015 20:04:31
%S 1,2,2,3,6,4,4,12,18,8,5,20,48,54,16,6,30,94,173,148,32,7,40,157,382,
%T 548,342,58,8,52,230,716,1342,1551,705,81,9,64,322,1160,3051,4389,
%U 4076,1326,104,10,76,429,1829,5755,13285,14868,10963,2326,140,11,90,567,2754,10579
%N T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11
%C Table starts
%C ...1....2.....3......4.......5........6........7.........8.........9.........10
%C ...2....6....12.....20......30.......40.......52........64........76.........90
%C ...4...18....48.....94.....157......230......322.......429.......567........731
%C ...8...54...173....382.....716.....1160.....1829......2754......4165.......5897
%C ..16..148...548...1342....3051.....5755....10579.....18088.....31044......47870
%C ..32..342..1551...4389...13285....29335....63065....120493....230894.....386610
%C ..58..705..4076..14868...59419...151481...377767....793220...1707964....3142469
%C ..81.1326.10963..53277..266171...783265..2221423...5173837..12782005...25978208
%C .104.2326.31852.192067.1191961..4002105.12921371..34249755..97237760..216473428
%C .140.4173.94440.687805.5299332.20279110.76358462.232043956.742521146.1796564302
%H R. H. Hardin, <a href="/A254947/b254947.txt">Table of n, a(n) for n = 1..9999</a>
%e Some solutions for n=4 k=4
%e ..2....5....4....5....4....3....3....3....4....3....4....4....4....2....5....2
%e ..5....3....2....4....5....1....4....3....3....3....1....3....5....2....2....3
%e ..4....3....5....1....1....2....4....2....1....5....3....1....3....2....2....3
%e ..5....3....5....4....5....4....3....4....2....4....1....4....3....2....3....1
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_, Feb 10 2015
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