A184257 T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i^3*x(i) equal to n^3*k

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 3, 1, 3, 1, 1, 1, 3, 4, 5, 10, 5, 1, 1, 2, 3, 5, 10, 20, 15, 4, 3, 1, 2, 3, 8, 19, 41, 47, 26, 17, 1, 1, 2, 4, 13, 33, 79, 135, 129, 91, 18, 1, 1, 2, 5, 17, 51, 152, 333, 477, 427, 180, 28, 3, 1, 2, 6, 22, 78, 278, 739, 1393

Offset

1,13

Comments

Table starts

.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

.1..1...2....2....2.....3.....3......3......4.......5.......6.......7........8

.1..2...2....3....4.....5.....8.....13.....17......22......26......32.......43

.1..1...1....5...10....19....33.....51.....78.....111.....166.....226......305

.2..3..10...20...41....79...152....278....468.....752....1174....1728.....2505

.1..5..15...47..135...333...739...1500...2816....4959....8345...13493....21012

.1..4..26..129..477..1393..3504...7939..16557...32164...59007..102948...172648

.3.17..91..427.1719..5725.16444..41835..96242..204982..409042..772161..1391177

.1.18.180.1196.5987.23408.76185.216304.550754.1284107.2783982.5675306.10980743

Links

R. H. Hardin, Table of n, a(n) for n = 1..396

Example

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

Crossrefs

Column 1 is A030272

Sequence in context: A175921 A303828 A025451 * A365721 A352219 A275656

Adjacent sequences: A184254 A184255 A184256 * A184258 A184259 A184260

Keyword

nonn,tabl

Author

R. H. Hardin Jan 10 2011

Status

approved