cp's OEIS Frontend

A342895 Smallest number that is the sum of five positive n-th powers in three ways.

%I A342895 #18 Apr 12 2021 00:17:38
%S A342895 29,766,4225,13124675,224688658
%N A342895 Smallest number that is the sum of five positive n-th powers in three ways.
%C A342895 a(7) > 2*10^11. - _Jon E. Schoenfield_, Apr 11 2021
%H A342895 R. Alter, <a href="https://doi.org/10.1007/BFb0096461">Computations and generalizations on a remark of Ramanujan</a>, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981.
%e A342895 From _Jon E. Schoenfield_, Apr 11 2021: (Start)
%e A342895 a(2) = 29 = 1^2 + 1^2 + 1^2 + 1^2 + 5^2
%e A342895           = 1^2 + 1^2 + 3^2 + 3^2 + 3^2
%e A342895           = 1^2 + 2^2 + 2^2 + 2^2 + 4^2.
%e A342895 .
%e A342895 a(3) = 766 = 1^3 + 1^3 + 2^3 + 3^3 + 9^3
%e A342895            = 1^3 + 4^3 + 4^3 + 5^3 + 8^3
%e A342895            = 2^3 + 2^3 + 4^3 + 7^3 + 7^3.
%e A342895 .
%e A342895 a(4) = 4225 = 2^4 + 2^4 + 2^4 + 3^4 + 8^4
%e A342895             = 2^4 + 4^4 + 4^4 + 6^4 + 7^4
%e A342895             = 3^4 + 4^4 + 6^4 + 6^4 + 6^4.
%e A342895 .
%e A342895 a(5) = 13124675 =  1^5 +  9^5 + 10^5 + 20^5 + 25^5
%e A342895                 =  2^5 +  5^5 + 12^5 + 23^5 + 23^5
%e A342895                 = 16^5 + 19^5 + 20^5 + 20^5 + 20^5.
%e A342895 .
%e A342895 a(6) = 224688658 = 3^6 +  8^6 + 19^6 + 20^6 + 22^6
%e A342895                  = 5^6 +  5^6 + 16^6 + 16^6 + 24^6
%e A342895                  = 8^6 + 10^6 + 15^6 + 20^6 + 23^6. (End)
%Y A342895 Cf. A230563, A342893-A342903.
%K A342895 nonn,hard,more
%O A342895 2,1
%A A342895 _N. J. A. Sloane_, Apr 04 2021
%E A342895 a(6) from _Jinyuan Wang_, Apr 11 2021