A249889 Number of length 6+6 0..n arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms

35, 12053, 785512, 19280050, 251933535, 2134932975, 13234666552, 64864288932, 264892845123, 935317626473, 2933310313328, 8337179912854, 21810111432655, 53153742532419, 121854226946064, 264833970134344, 549186726272259

Offset

1,1

Comments

Row 6 of A249883

Links

R. H. Hardin, Table of n, a(n) for n = 1..27

Formula

Empirical: a(n) = n^12 - (1129/770)*n^11 + (13667/1575)*n^10 - (1901/270)*n^9 + (28967/1260)*n^8 - (3352/315)*n^7 + (1283/100)*n^6 + (4261/210)*n^5 - (18491/630)*n^4 + (1051/54)*n^3 + (2132/1575)*n^2 - (2391/770)*n

Example

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

Crossrefs

Sequence in context: A316940 A202066 A271071 * A030261 A345675 A007102

Adjacent sequences: A249886 A249887 A249888 * A249890 A249891 A249892

Keyword

nonn

Author

R. H. Hardin, Nov 07 2014

Status

approved