A250341 Number of length 5+5 0..n arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms

272, 9771, 101264, 596245, 2506320, 8403783, 23943648, 60312393, 137935120, 291832739, 579084144, 1088915165, 1956006352, 3377685375, 5635747008, 9123724305, 14380518672, 22131384091, 33337351760, 49254275877, 71502779216

Offset

1,1

Comments

Row 5 of A250336

Links

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

Formula

Empirical: a(n) = (1/105)*n^9 + (34/35)*n^8 + (25/2)*n^7 + 50*n^6 + 92*n^5 + (1384/15)*n^4 + (621/14)*n^3 - (173/21)*n^2 - (193/15)*n + 1

Example

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

Crossrefs

Sequence in context: A141546 A000517 A350975 * A168372 A023907 A281691

Adjacent sequences: A250338 A250339 A250340 * A250342 A250343 A250344

Keyword

nonn

Author

R. H. Hardin, Nov 19 2014

Status

approved