A242144 T(n,k)=Number of length n+5 0..k arrays with no consecutive six elements summing to more than 3*k

42, 435, 74, 2338, 1113, 132, 8688, 7862, 2902, 236, 25494, 36224, 27024, 7596, 421, 63490, 126894, 154647, 93308, 19834, 747, 140148, 367358, 647404, 663395, 321320, 51440, 1314, 282051, 924300, 2180310, 3319500, 2837837, 1098260, 131950, 2318

Offset

1,1

Comments

Table starts

...42....435....2338.....8688.....25494......63490......140148......282051

...74...1113....7862....36224....126894.....367358......924300.....2088459

..132...2902...27024...154647....647404....2180310.....6256170....15876783

..236...7596...93308...663395...3319500...13006484....42564898...121330981

..421..19834..321320..2837837..16970962...77357343...288712815...924335053

..747..51440.1098260.12043599..86052208..456215409..1941492045..6980495147

.1314.131950.3708268.50455611.430518585.2653766000.12874102578.51971761446

Links

R. H. Hardin, Table of n, a(n) for n = 1..532

Formula

Empirical for column k:

k=1: [linear recurrence of order 20]

Empirical for row n:

n=1: [polynomial of degree 6]

n=2: [polynomial of degree 7]

n=3: [polynomial of degree 8]

n=4: [polynomial of degree 9]

n=5: [polynomial of degree 10]

n=6: [polynomial of degree 11]

n=7: [polynomial of degree 12]

Example

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

Crossrefs

Column 1 is A133551(n+5)

Column 2 is A212227

Column 3 is A212466

Sequence in context: A127545 A027318 A251425 * A242145 A230933 A231110

Adjacent sequences: A242141 A242142 A242143 * A242145 A242146 A242147

Keyword

nonn,tabl

Author

R. H. Hardin, May 05 2014

Status

approved