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URL: https://oeis.org/A254698

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A254698
T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms.
15
22, 133, 34, 464, 267, 54, 1205, 1116, 552, 86, 2606, 3341, 2764, 1140, 136, 4977, 8142, 9507, 6808, 2310, 212, 8688, 17255, 25962, 26759, 16276, 4542, 334, 14169, 33048, 60634, 81390, 72271, 37204, 9106, 532, 21910, 58617, 126456, 208114, 242076
OFFSET
1,1
COMMENTS
Table starts
...22...133.....464.....1205.....2606......4977......8688......14169......21910
...34...267....1116.....3341.....8142.....17255.....33048......58617......97882
...54...552....2764.....9507....25962.....60634....126456.....242037.....433054
...86..1140....6808....26759....81390....208114....469376.....962541....1831798
..136..2310...16276....72271...242076....670372...1618264....3520845....7060672
..212..4542...37204...183491...665256...1961608...4985336...11325573...23567212
..334..9106...87892...489135..1954106...6255136..17080712...41376909...91273510
..532.18498..211672..1335839..5903724..20574928..60483408..156403629..365868388
..852.37742..512684..3667545.17914000..67894218.214599288..591634473.1465804300
.1367.77010.1241154.10039379.54038937.222047516.752272724.2204108901.5765156683
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 15]
k=2: [order 49]
k=3: [order 83]
Empirical for row n:
n=1: a(n) = (5/2)*n^4 + (20/3)*n^3 + (15/2)*n^2 + (13/3)*n + 1
n=2: a(n) = (4/5)*n^5 + (19/3)*n^4 + (34/3)*n^3 + (29/3)*n^2 + (73/15)*n + 1
n=3: [polynomial of degree 6]
n=4: [polynomial of degree 7]
n=5: [polynomial of degree 7]
n=6: [polynomial of degree 7]
n=7: [polynomial of degree 8]
EXAMPLE
Some solutions for n=4 k=4
..1....2....3....2....0....3....4....0....3....4....4....1....3....4....4....2
..0....0....0....2....4....0....2....4....1....0....3....4....3....1....1....3
..4....2....2....3....0....4....3....1....1....4....3....0....0....0....3....4
..1....2....2....2....3....2....4....1....3....2....3....1....2....0....3....3
..3....3....2....4....0....2....3....1....1....2....1....1....2....0....3....3
..1....3....4....2....0....4....3....2....1....3....3....3....4....1....3....3
..1....2....0....2....0....2....3....1....0....1....3....1....2....2....3....3
..2....2....4....0....1....4....2....4....2....3....3....0....2....0....3....0
CROSSREFS
Sequence in context: A233060 A299520 A003778 * A041936 A254699 A391667
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 05 2015
STATUS
approved