A184720 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i*x(i)^3 equal to n*k^3

1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 3, 1, 1, 2, 2, 5, 4, 1, 1, 2, 2, 7, 9, 5, 1, 1, 2, 3, 6, 19, 22, 6, 1, 1, 2, 2, 6, 22, 39, 47, 8, 1, 1, 2, 2, 20, 39, 125, 120, 95, 10, 1, 1, 2, 3, 15, 65, 209, 467, 411, 197, 12, 1, 1, 2, 3, 18, 76, 356, 947, 1669, 1310, 394, 15, 1, 1, 2, 4, 29, 114

Offset

1,6

Comments

Table starts

..1...1....1....1.....1.....1......1......1......1.......1.......1.......1

..1...1....1....1.....1.....1......1......1......1.......1.......1.......1

..2...2....2....2.....2.....2......2......2......2.......2.......2.......2

..2...2....2....2.....3.....2......2......3......3.......4.......4.......5

..3...5....7....6.....6....20.....15.....18.....29......20......22......41

..4...9...19...22....39....65.....76....114....170.....192.....253.....315

..5..22...39..125...209...356....560....929...1348....2003....2791....3848

..6..47..120..467...947..1958...3604...6939..11333...18282...27796...40692

..8..95..411.1669..4403.11206..24327..49405..89952..158048..264197..425754

.10.197.1310.6070.20825.61215.152952.343061.710495.1372469.2497090.4353275

Links

R. H. Hardin, Table of n, a(n) for n = 1..361

Example

Some solutions for n=6 k=5
..2....2....0....0....2....4....5....1....5....0....5....4....0....4....3....4
..0....5....5....1....2....3....5....5....5....5....4....0....0....4....4....2
..1....0....1....3....2....1....1....3....5....0....3....1....0....5....3....1
..3....3....3....5....5....1....1....4....0....5....2....5....0....0....2....5
..5....0....1....1....2....5....4....0....0....0....0....3....0....3....4....1
..1....4....4....3....3....0....2....3....0....0....4....2....5....2....3....3

Crossrefs

Column 1 is A000009

Sequence in context: A156593 A206498 A184848 * A054526 A113453 A245851

Adjacent sequences: A184717 A184718 A184719 * A184721 A184722 A184723

Keyword

nonn,tabl

Author

R. H. Hardin Jan 20 2011

Status

approved