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A250081
T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms
15
49, 444, 83, 2086, 982, 144, 6835, 5604, 2228, 252, 17871, 21405, 15472, 5084, 442, 40054, 63611, 68863, 42936, 11519, 774, 80284, 159278, 232096, 222329, 117828, 25659, 1348, 147861, 352192, 647122, 847708, 706561, 315376, 55647, 2361, 254845
OFFSET
1,1
COMMENTS
Table starts
...49....444.....2086......6835......17871......40054.......80284.......147861
...83....982.....5604.....21405......63611.....159278......352192.......708609
..144...2228....15472.....68863.....232096.....647122.....1572320......3441309
..252...5084....42936....222329.....847708....2623376.....6978064.....16547001
..442..11519...117828....706561....3032302...10361063....30011560.....76692849
..774..25659...315376...2170435...10384566...38804209...121263104....330977421
.1348..55647...813208...6341373...33356124..134387611...446774000...1284748281
.2361.122851..2167600..19472847..114688781..508067629..1834111512...5674570869
.4156.273803..5855140..60813057..402127048.1962422803..7701187928..25647629649
.7334.612178.15883864.190846823.1416804566.7613922448.32463331040.116297027805
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 26]
k=2: [order 96]
Empirical for row n:
n=1: a(n) = 3*n^5 + 10*n^4 + 15*n^3 + (27/2)*n^2 + (13/2)*n + 1
n=2: [polynomial of degree 6]
n=3: [polynomial of degree 7]
n=4: [polynomial of degree 8]
n=5: [polynomial of degree 9]
n=6: [polynomial of degree 9]
n=7: [polynomial of degree 9]
EXAMPLE
Some solutions for n=3 k=4
..3....3....3....1....4....4....0....0....3....3....2....0....2....3....3....3
..1....1....1....2....4....3....2....4....3....1....4....3....4....2....0....0
..0....3....2....2....0....3....0....2....3....2....1....2....0....1....0....4
..3....2....3....2....2....0....0....4....2....2....1....3....0....1....2....1
..0....2....3....2....0....0....2....2....1....1....2....2....3....1....3....3
..0....2....2....3....0....0....0....4....2....0....0....3....0....1....0....1
..3....3....3....0....2....1....2....2....4....1....4....2....0....4....0....1
..3....4....1....3....2....4....0....4....2....1....2....3....4....3....1....4
CROSSREFS
Sequence in context: A350382 A063874 A063132 * A250082 A012097 A218594
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 11 2014
STATUS
approved