A184720 - OEIS

%I #5 Mar 31 2012 12:36:01

%S 1,1,1,1,1,2,1,1,2,2,1,1,2,2,3,1,1,2,2,5,4,1,1,2,2,7,9,5,1,1,2,3,6,19,

%T 22,6,1,1,2,2,6,22,39,47,8,1,1,2,2,20,39,125,120,95,10,1,1,2,3,15,65,

%U 209,467,411,197,12,1,1,2,3,18,76,356,947,1669,1310,394,15,1,1,2,4,29,114

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

%C Table starts

%C ..1...1....1....1.....1.....1......1......1......1.......1.......1.......1

%C ..1...1....1....1.....1.....1......1......1......1.......1.......1.......1

%C ..2...2....2....2.....2.....2......2......2......2.......2.......2.......2

%C ..2...2....2....2.....3.....2......2......3......3.......4.......4.......5

%C ..3...5....7....6.....6....20.....15.....18.....29......20......22......41

%C ..4...9...19...22....39....65.....76....114....170.....192.....253.....315

%C ..5..22...39..125...209...356....560....929...1348....2003....2791....3848

%C ..6..47..120..467...947..1958...3604...6939..11333...18282...27796...40692

%C ..8..95..411.1669..4403.11206..24327..49405..89952..158048..264197..425754

%C .10.197.1310.6070.20825.61215.152952.343061.710495.1372469.2497090.4353275

%H R. H. Hardin, <a href="/A184720/b184720.txt">Table of n, a(n) for n = 1..361</a>

%e Some solutions for n=6 k=5

%e ..2....2....0....0....2....4....5....1....5....0....5....4....0....4....3....4

%e ..0....5....5....1....2....3....5....5....5....5....4....0....0....4....4....2

%e ..1....0....1....3....2....1....1....3....5....0....3....1....0....5....3....1

%e ..3....3....3....5....5....1....1....4....0....5....2....5....0....0....2....5

%e ..5....0....1....1....2....5....4....0....0....0....0....3....0....3....4....1

%e ..1....4....4....3....3....0....2....3....0....0....4....2....5....2....3....3

%Y Column 1 is A000009

%K nonn,tabl

%O 1,6

%A _R. H. Hardin_ Jan 20 2011