A193058 Number of size n nonnegative integer arrays with new values introduced in increasing order from 0, and no 3 consecutive elements totalling n or more

1, 2, 4, 11, 35, 132, 575, 2666, 13366, 75702, 440671, 2729413, 18532000, 128377424, 932516735, 7310526099, 58152253376, 481264505644, 4246485063225, 37932739729104, 350480039796036, 3421582485716585, 33772551636563403

Offset

1,2

Links

R. H. Hardin, Table of n, a(n) for n = 1..126

Example

Some solutions for n=8
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....1....0....0....1....0....1....1....0....1....0....1....0....1....1
..1....2....2....1....1....0....1....0....2....1....2....1....2....1....2....2
..0....1....1....2....0....0....1....1....2....2....3....1....2....1....1....3
..1....0....1....0....2....2....1....2....3....0....1....2....2....2....2....2
..1....1....0....3....1....1....2....0....0....0....0....3....1....3....2....0
..1....0....1....0....3....0....3....0....4....1....1....1....3....0....2....0
..1....3....2....0....2....1....1....2....2....2....3....2....1....2....2....1

Crossrefs

Sequence in context: A243788 A245465 A219861 * A179379 A086611 A035098

Adjacent sequences: A193055 A193056 A193057 * A193059 A193060 A193061

Keyword

nonn

Author

R. H. Hardin Jul 15 2011

Status

approved