A241611 Number of length n+2 0..5 arrays with no consecutive three elements summing to more than 5

56, 196, 686, 2254, 7586, 25774, 86828, 292621, 988303, 3335451, 11253229, 37977866, 128168421, 432512171, 1459576829, 4925618766, 16622258696, 56094381015, 189299674740, 638822175369, 2155807165360, 7275117316894

Offset

1,1

Comments

Column 5 of A241619

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +12*a(n-3) -4*a(n-4) -12*a(n-5) -36*a(n-6) +2*a(n-7) +16*a(n-8) +47*a(n-9) -4*a(n-10) -16*a(n-11) -33*a(n-12) +4*a(n-13) +10*a(n-14) +16*a(n-15) -a(n-16) -3*a(n-17) -4*a(n-18) +a(n-20) +a(n-21)

Example

Some solutions for n=5
..2....1....3....0....0....2....1....0....1....0....2....4....0....1....1....2
..0....0....1....0....0....2....2....4....1....0....3....1....0....1....3....2
..1....4....0....1....1....1....2....0....1....3....0....0....0....2....0....1
..0....0....1....2....4....0....1....0....3....1....0....0....0....1....0....2
..0....0....0....2....0....1....2....3....0....0....5....1....0....0....2....1
..0....3....3....1....0....3....0....1....2....2....0....3....0....2....0....2
..2....0....1....2....1....0....1....1....3....2....0....0....4....3....3....2

Crossrefs

Sequence in context: A136547 A264303 A200833 * A179403 A158481 A325306

Adjacent sequences: A241608 A241609 A241610 * A241612 A241613 A241614

Keyword

nonn

Author

R. H. Hardin, Apr 26 2014

Status

approved