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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.
14
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
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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