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

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

R. H. Hardin, Table of n, a(n) for n = 1..2710

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

Adjacent sequences: A250078 A250079 A250080 * A250082 A250083 A250084

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 11 2014

Status

approved