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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 15
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 13 2014
STATUS
approved

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Last modified July 14 13:00 EDT 2024. Contains 374318 sequences. (Running on oeis4.)