A342901 Smallest number that is the sum of seven positive n-th powers in four ways.

37, 470, 2932, 893604, 82718691

Offset: 2

Author

N. J. A. Sloane, Apr 04 2021

Keywords

• nonn
• more

Examples

			From _Ilya Gutkovskiy_, Aug 12 2024: (Start)
a(6) = 82718691 = 1^6 + 1^6 +  8^6 + 14^6 + 16^6 + 17^6 + 18^6
                = 3^6 + 7^6 + 10^6 + 10^6 + 16^6 + 16^6 + 19^6
                = 4^6 + 5^6 + 10^6 + 12^6 + 14^6 + 17^6 + 19^6
                = 4^6 + 9^6 + 10^6 + 13^6 + 13^6 + 14^6 + 20^6. (End)
		

Links

• R. Alter, Computations and generalizations on a remark of Ramanujan, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981.

Crossrefs

Cf. A230563, A342893-A342903.

Extensions

a(5)-a(6) from Jinyuan Wang, Apr 11 2021