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

Author

R. H. Hardin, Oct 31 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A135493(n+5)

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]