A342900 Smallest number that is the sum of six positive n-th powers in four ways.

36, 626, 6626, 12047994, 353563195

Offset

2,1

Links

Table of n, a(n) for n=2..6.

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.

Example

From Ilya Gutkovskiy, Aug 12 2024: (Start)
a(6) = 353563195 = 3^6 +  8^6 + 11^6 + 19^6 + 22^6 + 24^6
                 = 4^6 +  5^6 + 15^6 + 18^6 + 20^6 + 25^6
                 = 8^6 + 10^6 + 11^6 + 15^6 + 23^6 + 24^6
                 = 8^6 + 13^6 + 15^6 + 15^6 + 16^6 + 26^6. (End)

Crossrefs

Cf. A230563, A342893-A342903.

Sequence in context: A163720 A282556 A129839 * A160316 A210432 A010952

Adjacent sequences: A342897 A342898 A342899 * A342901 A342902 A342903

Keyword

nonn,more

Author

N. J. A. Sloane, Apr 04 2021

Extensions

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

Status

approved