A130012 Smallest natural number whose cube is the sum of n cubes of distinct natural numbers, or 0 if no such number exists.

1, 0, 6, 13, 9, 13, 14, 16, 18, 19, 21, 22, 24, 27, 28, 31, 33, 36, 38, 40, 42, 44, 45, 49, 52, 56, 58, 59, 62, 63, 67, 69, 71, 75, 79, 79, 83, 87, 89, 92, 95, 99, 102, 105, 107, 109, 114, 116, 117, 120, 126, 129, 131, 135, 138, 140, 145, 147, 150, 153, 158, 161, 165, 168

Offset: 1

Author

J. Lowell, Jun 15 2007

Keywords

• nonn

Comments

a(2)=0 is a special case of Fermat's Last Theorem. - Martin Fuller, Jul 06 2007

Examples

			a(3) = 6 because 3^3 + 4^3 + 5^3 = 6^3.
		

Links

• Larry Freeman's Blog Spot, Fermat's Last Theorem

Crossrefs

Cf. A130022 (for 4th powers), A007666 (for n-th powers).

Extensions

More terms from Martin Fuller, Jul 06 2007