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A274053 Least squarefree number that is the sum of a nonzero square and a positive cube in exactly n ways. 0

%I #10 Jun 13 2016 02:55:54

%S 2,17,2089,27289,3030569,6808609,1632201497

%N Least squarefree number that is the sum of a nonzero square and a positive cube in exactly n ways.

%e a(1) = 2 because 2 = 1^2 + 1^3.

%e a(2) = 17 because 17 = 4^2 + 1^3 = 3^2 + 2^3.

%e a(3) = 2089 because 2089 = 45^2 + 4^3 = 33^2 + 10^3 = 19^2 + 12^3.

%e a(4) = 27289 because 27289 = 29*941 = 165^2 + 4^3 = 129^2 + 22^3 = 108^2 + 25^3 = 17^2 + 30^3.

%Y Cf. A005117, A055394, A060835, A122956, A173795.

%K nonn,more

%O 1,1

%A _Altug Alkan_, Jun 08 2016

%E a(6)-a(7) from _Giovanni Resta_, Jun 12 2016

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)