A241969 Number of length 6+3 0..n arrays with no consecutive four elements summing to more than 2*n

166, 4663, 53553, 365810, 1782453, 6853011, 22111157, 62336336, 157897575, 366623400, 792037896, 1610247431, 3108255424, 5737023770, 10183189142, 17463980371, 29050569460, 47025823517, 74283207995, 114774423104

Offset

1,1

Comments

Row 6 of A241964

Links

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

Formula

Empirical: a(n) = (24187/181440)*n^9 + (57493/40320)*n^8 + (12829/1890)*n^7 + (54583/2880)*n^6 + (296887/8640)*n^5 + (242891/5760)*n^4 + (3196213/90720)*n^3 + (196087/10080)*n^2 + (16343/2520)*n + 1

Example

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

Crossrefs

Sequence in context: A033675 A204971 A204964 * A193984 A144380 A204963

Adjacent sequences: A241966 A241967 A241968 * A241970 A241971 A241972

Keyword

nonn

Author

R. H. Hardin, May 03 2014

Status

approved