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A258631 T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7 16
1, 2, 2, 3, 6, 4, 4, 12, 18, 8, 5, 20, 45, 50, 16, 6, 28, 80, 130, 105, 27, 7, 36, 125, 264, 331, 181, 33, 8, 46, 179, 511, 809, 834, 316, 35, 9, 56, 257, 830, 2094, 2506, 2115, 560, 45, 9, 67, 345, 1408, 4021, 9099, 8432, 5726, 969, 60, 10, 73, 468, 2150, 8116, 20462, 40789 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

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

..2....6....12.....20......28.......36.......46........56........67.........73

..4...18....45.....80.....125......179......257.......345.......468........560

..8...50...130....264.....511......830.....1408......2150......3370.......4440

.16..105...331....809....2094.....4021.....8116.....14058.....25047......35962

.27..181...834...2506....9099....20462....48479.....93595....186047.....290231

.33..316..2115...8432...40789...105719...290231....615072...1376125....2357746

.35..560..5726..30362..182685...546640..1702510...4010997..10317196...19499390

.45..969.16873.109520..818100..2789557..9898375..26612118..78604973..162595685

.60.1777.50003.391836.3633049.14124297.58647747.180705283.600180109.1349514483

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..9999

EXAMPLE

Some solutions for n=8 k=4

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A294033 A254827 A193862 * A254947 A185810 A015050

Adjacent sequences:  A258628 A258629 A258630 * A258632 A258633 A258634

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 06 2015

STATUS

approved

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Last modified May 9 10:53 EDT 2021. Contains 343732 sequences. (Running on oeis4.)