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