A184240 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^2*x(i)^2 equal to n^2*k^2.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 5, 4, 2, 1, 1, 2, 2, 3, 5, 4, 1, 1, 1, 1, 2, 15, 15, 41, 7, 3, 1, 1, 1, 2, 11, 24, 31, 36, 19, 3, 1, 1, 3, 1, 30, 43, 213, 119, 199, 47, 4, 1, 1, 2, 5, 5, 47, 176, 356, 555, 420, 71, 2, 1, 1, 2, 3, 79, 88, 706, 962, 2531, 2138

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.......2

.1..1...2....1....1.....2.....1......1......3.......2.......2.......2.......2

.1..1...1....1....2.....2.....2......1......5.......3.......3.......2.......4

.2..2...5....3...15....11....30......5.....79......30......99......30.....129

.1..4...5...15...24....43....47.....88....155.....251.....249.....349.....507

.2..4..41...31..213...176...706....571...2355....1508....5431....3445...10802

.1..7..36..119..356...962..2108...3719...6688...13801...22721...31805...53339

.3.19.199..555.2531..5920.19178..32608..85718..133989..284012..450961..850956

.3.47.420.2138.9710.32442.97714.229978.570177.1186420.2444060.4476795.8278231

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..393

Crossrefs

Column 1 is A030273