A330212 a(n) is the smallest k such that {1^3, 2^3, 3^3, ..., k^3} can be partitioned into n sets of equal sums.

1, 12, 23, 24, 24, 35, 41, 47, 53, 59, 65, 63

Offset: 1

Author

Dean D. Ballard, Jun 08 2020

Keywords

• nonn
• more

Examples

			For n = 1 the set is {1}.
For n = 2 the sets are {1,2,4,8,9,12}, {3,5,6,7,10,11}.
For n = 3, the sets are {2,5,9,11,14,15,17,23}, {1,4,7,8,12,16,20,22}, {3,6,10,13,18,19,21}.
For n = 4, the sets are (all 3 of them):
{1,2,3,4,14,18,24}, {7,9,21,23}, {8,10,11,16,17,22}, {5,6,12,13,15,19,20}
OR
{1,8,10,11,18,24}, {7,9,21,23}, {2,3,4,14,16,17,22}, {5,6,12,13,15,19,20}
OR
{1,2,3,4,14,18,24}, {7,9,21,23}, {5,6,8,11,13,15,16,22}, {10,12,17,19,20}.
For n = 5 the sets are {2,4,9,15,24}, {1,18,23}, {8,14,16,22}, {3,5,12,19,21}, {6,7,10,11,13,17,20}.
For n = 6 the sets are {4,11,13,27,35}, {9,12,29,34}, {1,5,7,14,30,33}, {6,15,31,32}, {2,3,8,10,19,20,23,25,28}, {16,17,18,21,22,24,26}.
		

Crossrefs

Cf. A019568, A240070, A330431.

Extensions

a(11)-a(12) from Jork Loeser, Jun 27 2020