%I #5 Mar 31 2012 12:35:58
%S 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,
%T 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,
%U 129,91,18,1,1,2,5,17,51,152,333,477,427,180,28,3,1,2,6,22,78,278,739,1393
%N 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
%C Table starts
%C .1..1...1....1....1.....1.....1......1......1.......1.......1.......1........1
%C .1..1...1....1....1.....1.....1......2......2.......2.......2.......2........2
%C .1..1...2....2....2.....3.....3......3......4.......5.......6.......7........8
%C .1..2...2....3....4.....5.....8.....13.....17......22......26......32.......43
%C .1..1...1....5...10....19....33.....51.....78.....111.....166.....226......305
%C .2..3..10...20...41....79...152....278....468.....752....1174....1728.....2505
%C .1..5..15...47..135...333...739...1500...2816....4959....8345...13493....21012
%C .1..4..26..129..477..1393..3504...7939..16557...32164...59007..102948...172648
%C .3.17..91..427.1719..5725.16444..41835..96242..204982..409042..772161..1391177
%C .1.18.180.1196.5987.23408.76185.216304.550754.1284107.2783982.5675306.10980743
%H R. H. Hardin, <a href="/A184257/b184257.txt">Table of n, a(n) for n = 1..396</a>
%e Some solutions for n=6 k=5
%e ..0....0....1....3....0....0....2....2....0....4....5....3....2....4....0....5
%e ..0....0....5....3....0....3....1....1....0....5....1....0....4....5....5....4
%e ..5....4....5....3....2....1....4....5....3....0....5....3....2....4....5....3
%e ..5....4....4....4....2....4....1....2....3....5....0....1....2....1....1....1
%e ..5....4....0....4....2....1....2....3....3....4....4....4....0....0....5....2
%e ..0....1....3....1....3....3....3....2....2....1....2....2....4....4....1....3
%Y Column 1 is A030272
%K nonn,tabl
%O 1,13
%A _R. H. Hardin_ Jan 10 2011