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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

Views

Author

R. H. Hardin, May 05 2014

Keywords

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

Examples

			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

Links

Crossrefs

Column 1 is A133551(n+5)
Column 2 is A212227
Column 3 is A212466

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]
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