A184303 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^3*x(i)^2 equal to n^3*k^2

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 5, 2, 1, 1, 1, 1, 1, 1, 5, 4, 5, 3, 1, 1, 1, 1, 5, 11, 19, 18, 9, 1, 1, 1, 1, 3, 4, 24, 21, 65, 52, 12, 1, 1, 1, 2, 1, 5, 29, 65, 167, 179, 84, 28, 3, 1, 1, 1, 2, 7, 31, 82, 410, 616, 567, 243, 52, 4, 1, 1, 2

Offset

1,21

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

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

.1..1..1...1....1....5.....4.....5......7.....10......7......27......10......27

.2..2..5...5...11...24....29....31.....74....111....150.....193.....264.....361

.1..2..4..19...21...65....82...278....261....551....650....1608....1339....2645

.1..5.18..65..167..410...819..1516...3278...5370...9033...15333...22188...31688

.3..9.52.179..616.1659..4062..8664..19403..35173..69020..109702..196935..296114

.1.12.84.567.2308.7845.21900.56728.127011.274731.540876.1010383.1831113.3190779

Links

R. H. Hardin, Table of n, a(n) for n = 1..267

Example

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

Crossrefs

Column 1 is A030272

Sequence in context: A228287 A213636 A192393 * A218545 A205600 A133162

Adjacent sequences: A184300 A184301 A184302 * A184304 A184305 A184306

Keyword

nonn,tabl

Author

R. H. Hardin Jan 10 2011

Status

approved