A250154 T(n,k)=Number of length n+6 0..k arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms

107, 1452, 193, 9160, 3450, 354, 37805, 26710, 8377, 654, 119391, 129595, 79740, 20513, 1212, 313852, 468231, 455055, 240144, 50228, 2248, 722072, 1382188, 1879526, 1611449, 721644, 122228, 4166, 1501425, 3522460, 6219899, 7601062

Offset

1,1

Comments

Table starts

...107....1452......9160......37805......119391.......313852.......722072

...193....3450.....26710.....129595......468231......1382188......3522460

...354....8377.....79740.....455055.....1879526......6219899.....17519352

...654...20513....240144....1611449.....7601062.....28153337.....87461488

..1212...50228....721644....5682771....30540568....126272510....431428872

..2248..122228...2144132...19726379...120228940....552269862...2065373112

..4166..293972...6242596...66600911...456748018...2312181994...9388944776

..7702..694228..17629584..215884055..1647466166...9084404402..39584158608

.14270.1665492..51324016..733377115..6339887238..38812476262.185122408752

.26488.4027873.150838232.2521174765.24740345120.168394122957.879922285648

Links

R. H. Hardin, Table of n, a(n) for n = 1..2492

Formula

Empirical for column k:

k=1: [linear recurrence of order 42]

Empirical for row n:

n=1: a(n) = (7/2)*n^6 + 14*n^5 + (105/4)*n^4 + (63/2)*n^3 + (91/4)*n^2 + 8*n + 1

n=2: [polynomial of degree 7]

n=3: [polynomial of degree 8]

n=4: [polynomial of degree 9]

n=5: [polynomial of degree 10]

n=6: [polynomial of degree 11]

n=7: [polynomial of degree 11]

Example

Some solutions for n=3 k=4
..0....0....0....0....0....1....0....0....1....0....1....1....0....1....0....0
..3....1....1....4....2....1....1....3....0....2....0....1....1....0....4....3
..3....3....1....0....0....0....1....3....2....0....0....1....0....0....1....1
..4....1....1....0....0....0....0....3....0....0....2....1....0....1....1....3
..1....3....1....3....3....2....1....4....1....4....2....1....2....4....1....2
..1....4....2....1....2....0....0....0....3....0....1....3....1....0....2....1
..4....1....1....2....0....2....1....0....0....1....0....4....2....0....3....4
..0....0....1....0....4....3....0....0....0....2....0....2....0....4....1....1
..3....2....0....0....4....0....3....4....2....0....1....4....3....0....2....0

Crossrefs

Sequence in context: A212377 A113932 A357551 * A250155 A240596 A185677

Adjacent sequences: A250151 A250152 A250153 * A250155 A250156 A250157

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 13 2014

Status

approved