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A254821
Number of length n 1..(2+1) arrays with every leading partial sum divisible by 2, 3 or 5
1
2, 6, 13, 26, 48, 80, 141, 250, 432, 811, 1738, 3961, 8538, 17025, 34187, 72898, 157026, 321779, 617116, 1123322, 1990020, 3513143, 6331279, 11993364, 24225202, 51006817, 107771521, 224620410, 465541899, 968974620, 2010309389, 4078213843
OFFSET
1,1
COMMENTS
Column 2 of A254827
LINKS
FORMULA
Empirical: a(n) = a(n-10) +27*a(n-11) +273*a(n-12) +1342*a(n-13) +3706*a(n-14) +6256*a(n-15) +6799*a(n-16) +4909*a(n-17) +2383*a(n-18) +770*a(n-19) +159*a(n-20) +19*a(n-21) +a(n-22)
EXAMPLE
Some solutions for n=4
..3....3....2....2....3....2....3....2....3....3....2....3....3....2....2....3
..2....3....3....1....3....1....1....3....3....2....3....2....1....1....1....1
..1....3....1....1....3....2....2....3....2....3....3....1....1....3....1....1
..3....3....2....1....1....1....3....1....1....2....2....2....1....2....2....3
CROSSREFS
Sequence in context: A031872 A259577 A172348 * A192953 A353232 A275970
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 08 2015
STATUS
approved