A250336 T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some three terms equal to the minimum of the remaining three terms

44, 429, 68, 2056, 907, 108, 6785, 5264, 1989, 172, 17796, 20085, 14040, 4409, 272, 39949, 59396, 62041, 37824, 9771, 424, 80144, 147903, 206724, 193437, 101264, 21523, 648, 147681, 325312, 569693, 725596, 596245, 266448, 46941, 996, 254620

Offset

1,1

Comments

Table starts

...44....429.....2056......6785.....17796......39949.......80144......147681

...68....907.....5264.....20085.....59396.....147903......325312......651369

..108...1989....14040.....62041....206724.....569693.....1369136.....2966769

..172...4409....37824....193437....725596....2210213.....5794496....13561449

..272...9771...101264....596245...2506320....8403783....23943648....60312393

..424..21523...266448...1789193...8357144...30606683....94080768...253309665

..648..46941...682576...5156313..26422104..104374957...341862816...971811153

..996.103647..1775840..15207653..86279700..371391819..1310493568..3979387305

.1544.231359..4688592..45754029.288823480.1360791587..5193605728.16905033465

.2404.519971.12466400.138814961.976092436.5038261323.20813768640.72664579185

Links

R. H. Hardin, Table of n, a(n) for n = 1..2035

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-3) +2*a(n-6) -2*a(n-9) -a(n-10) -a(n-12) +a(n-15)

k=2: [order 70]

Empirical for row n:

n=1: a(n) = 3*n^5 + 10*n^4 + 15*n^3 + 11*n^2 + 4*n + 1

n=2: a(n) = n^6 + 9*n^5 + 20*n^4 + (68/3)*n^3 + 12*n^2 + (7/3)*n + 1

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=4 k=4
..0....0....0....2....0....1....0....0....1....0....0....2....0....0....0....0
..3....1....1....0....2....4....4....1....4....4....3....2....1....1....0....1
..4....3....3....0....3....1....1....2....0....2....3....2....2....0....0....4
..3....3....4....2....3....1....2....2....1....2....3....2....4....1....0....1
..3....3....1....2....3....0....2....4....1....1....3....2....2....2....0....1
..2....4....1....4....3....1....2....2....1....2....4....3....2....2....0....0
..4....4....1....4....1....1....2....0....1....4....4....0....1....1....0....0
..1....2....1....0....2....2....4....1....0....1....3....4....3....1....1....3
..3....1....2....0....3....4....2....2....0....3....0....2....0....1....2....1

Crossrefs

Sequence in context: A190605 A264555 A231217 * A250337 A002613 A094201

Adjacent sequences: A250333 A250334 A250335 * A250337 A250338 A250339

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 19 2014

Status

approved