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A250146
Number of length 7+2 0..n arrays with the medians of every three consecutive terms nondecreasing.
1
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
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 13 2014
STATUS
approved