A254821 - OEIS

A254821

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 2 of A254827

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A254818 A254819 A254820 * A254822 A254823 A254824

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 08 2015

STATUS

approved