A246892 T(n,k)=Number of length n+4 0..k arrays with some pair in every consecutive five terms totalling exactly k

30, 231, 58, 900, 673, 112, 2701, 3364, 1961, 216, 6210, 12481, 12544, 5711, 416, 12931, 33294, 57585, 46656, 16621, 802, 23400, 79345, 177648, 264981, 173056, 48393, 1546, 40281, 159688, 484297, 942216, 1216081, 643204, 140893, 2980, 63750

Offset

1,1

Comments

Table starts

....30.....231.......900.......2701........6210........12931........23400

....58.....673......3364......12481.......33294........79345.......159688

...112....1961.....12544......57585......177648.......484297......1079680

...216....5711.....46656.....264981......942216......2934691......7216512

...416...16621....173056....1216081.....4971120.....17677453.....47799488

...802...48393....643204....5592169....26346486....107053441....319477960

..1546..140893...2390116...25710385...139555230....647845357...2132283592

..2980..410197...8880400..118192273...738947844...3918872917..14219886016

..5744.1194243..32993536..543322645..3912529200..23704560247..94826520320

.11072.3476929.122589184.2497751105.20719113168.143411404177.632600369216

Links

R. H. Hardin, Table of n, a(n) for n = 1..1835

Formula

Empirical for column k:

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

k=2: [order 14]

k=3: [order 10]

k=4: [order 31]

k=5: [order 14]

k=6: [order 39]

k=7: [order 15]

k=8: [order 40]

k=9: [order 15]

Empirical for row n:

n=1: a(n) = 2*a(n-1) +2*a(n-2) -6*a(n-3) +6*a(n-5) -2*a(n-6) -2*a(n-7) +a(n-8)

n=2: [order 10]

n=3: [order 12]

n=4: [order 13]

n=5: [order 14]

n=6: [order 16]

n=7: [order 18]

Example

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

Crossrefs

Column 1 is A135492(n+4)

Sequence in context: A080569 A185032 A291466 * A246893 A190068 A339750

Adjacent sequences: A246889 A246890 A246891 * A246893 A246894 A246895

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 06 2014

Status

approved