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R. H. Hardin, <a href="/A254947/b254947.txt">Table of n, a(n) for n = 1..9999</a>

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T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11

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, 548, 342, 58, 8, 52, 230, 716, 1342, 1551, 705, 81, 9, 64, 322, 1160, 3051, 4389, 4076, 1326, 104, 10, 76, 429, 1829, 5755, 13285, 14868, 10963, 2326, 140, 11, 90, 567, 2754, 10579

1,2

Table starts

...1....2.....3......4.......5........6........7.........8.........9.........10

...2....6....12.....20......30.......40.......52........64........76.........90

...4...18....48.....94.....157......230......322.......429.......567........731

...8...54...173....382.....716.....1160.....1829......2754......4165.......5897

..16..148...548...1342....3051.....5755....10579.....18088.....31044......47870

..32..342..1551...4389...13285....29335....63065....120493....230894.....386610

..58..705..4076..14868...59419...151481...377767....793220...1707964....3142469

..81.1326.10963..53277..266171...783265..2221423...5173837..12782005...25978208

.104.2326.31852.192067.1191961..4002105.12921371..34249755..97237760..216473428

.140.4173.94440.687805.5299332.20279110.76358462.232043956.742521146.1796564302

Some solutions for n=4 k=4

..2....5....4....5....4....3....3....3....4....3....4....4....4....2....5....2

..5....3....2....4....5....1....4....3....3....3....1....3....5....2....2....3

..4....3....5....1....1....2....4....2....1....5....3....1....3....2....2....3

..5....3....5....4....5....4....3....4....2....4....1....4....3....2....3....1

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nonn,tabl

R. H. Hardin, Feb 10 2015

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