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

Author

R. H. Hardin, Sep 06 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A135492(n+4)

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]