A249530 T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having five times any element equal to the sum of the remaining five

62, 606, 122, 3492, 1572, 240, 13580, 12156, 4120, 472, 40950, 59720, 42400, 10834, 928, 104562, 217170, 263156, 147984, 28500, 1824, 235196, 655352, 1154444, 1161050, 516652, 74886, 3586, 480912, 1699092, 4116620, 6143828, 5126096

Offset

1,1

Comments

Table starts

....62.....606......3492......13580........40950........104562.........235196

...122....1572.....12156......59720.......217170........655352........1699092

...240....4120.....42400.....263156......1154444.......4116620.......12297972

...472...10834....147984....1161050......6143828......25889916.......89105036

...928...28500....516652....5126096.....32715172.....162930700......645979544

..1824...74886...1804128...22639594....174242716....1025679026.....4684420552

..3586..196346...6301554...99998070....928056514....6457498056....33973205930

..7050..515066..22009836..441725882...4943294814...40657829724...246394508200

.13860.1352304..76884550.1951405680..26331473568..255999677748..1787038582186

.27248.3552428.268579888.8621117794.140263427946.1611927429578.12961135262872

Links

R. H. Hardin, Table of n, a(n) for n = 1..468

Formula

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) +a(n-3) +a(n-4) +a(n-5)

k=2: [order 92]

Empirical for row n:

n=1: [linear recurrence of order 16; also a polynomial of degree 6 plus a quasipolynomial of degree 0 with period 60]

Example

Some solutions for n=3 k=4
..1....1....0....1....0....1....1....0....1....0....0....1....0....0....1....1
..0....1....0....3....3....4....4....4....0....0....0....3....2....4....2....2
..1....4....0....3....0....0....1....0....3....3....1....0....0....4....3....0
..2....4....1....1....2....2....1....0....4....1....0....1....4....1....0....3
..2....0....3....1....0....1....0....0....2....1....1....1....1....4....2....4
..4....0....0....3....4....0....3....2....4....4....1....1....0....0....1....3
..2....1....1....2....0....2....3....2....2....3....1....1....1....1....1....3
..0....3....4....1....0....2....0....2....4....0....4....1....1....1....4....0

Crossrefs

Column 1 is A135493(n+5)

Sequence in context: A209906 A362458 A069473 * A249531 A069966 A290285

Adjacent sequences: A249527 A249528 A249529 * A249531 A249532 A249533

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 31 2014

Status

approved