A250146 Number of length 7+2 0..n arrays with the medians of every three consecutive terms nondecreasing.

180, 4530, 45232, 274901, 1219944, 4350588, 13201680, 35373129, 85849852, 192208302, 402420096, 796122925, 1500404816, 2711339928, 4722722400, 7963669329, 13047004740, 20830593418, 32494066704, 49633671813, 74378281912

Offset

1,1

Comments

Row 7 of A250140.

Links

R. H. Hardin, Table of n, a(n) for n = 1..136

Formula

Empirical: a(n) = (169/3780)*n^9 + (1867/2520)*n^8 + (4241/840)*n^7 + (829/45)*n^6 + (7103/180)*n^5 + (18479/360)*n^4 + (305191/7560)*n^3 + (11659/630)*n^2 + (533/105)*n + 1.

Example

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

Crossrefs

Cf. A250140.

Sequence in context: A058835 A008432 A289318 * A243465 A271673 A008378

Adjacent sequences: A250143 A250144 A250145 * A250147 A250148 A250149

Keyword

nonn

Author

R. H. Hardin, Nov 13 2014

Status

approved