A184318 T(n,k) = number of strings of numbers x(i=1..n) in 0..k with sum i^2*x(i)^3 equal to n^2*k^3.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 3, 5, 6, 8, 3, 1, 1, 1, 1, 3, 5, 16, 30, 12, 3, 1, 1, 1, 2, 3, 11, 38, 68, 69, 21, 4, 1, 1, 1, 1, 2, 7, 50, 126, 244, 230, 47, 2, 1, 1, 1, 2, 3, 18, 69, 319, 763, 1106, 662, 117, 7, 1, 1

Offset: 1

Author

R. H. Hardin, Jan 10 2011

Keywords

• nonn
• tabl

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

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

.1..2...1....2....1....2.....1.....2......1......2......1......2.......1

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

.1..2...2....5....5...11.....7....18.....15.....26.....37.....47......50

.2..3...6...16...38...50....69...139....188....284....336....550.....608

.1..8..30...68..126..319...574..1056...1637...2680...3831...6128....8009

.3.12..69..244..763.1602..3336..7826..12904..23558..36719..62495...93074

.3.21.230.1106.3133.9343.23562.54515.104508.205011.373576.655153.1053794

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..264

Crossrefs

Column 1 is A030273.