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 A322102 Numbers that can be written as the average of two positive cubes in more than one way. 0

%I #6 Nov 27 2018 09:33:48

%S 2052,6916,16416,19656,32116,32864,55328,55404,82732,85644,131328,

%T 157248,160132,186732,256500,256928,262912,402844,442624,443232,

%U 477508,497344,504868,508248,530712,537516,546364,597556,661856,665532,685152,703836,783364,804636

%N Numbers that can be written as the average of two positive cubes in more than one way.

%C The first term with 3 representations is 59912244, which is equal to (11^3 + 493^3)/2, (90^3 + 492^3)/2, and (346^3 + 428^3)/2.

%e 2052 is a term because it is equal to (2^3 + 16^3)/2 and (9^3 + 15^3)/2.

%t Select[Range[10^5], Length[PowersRepresentations[2 #, 2, 3]] > 1 &]

%Y Cf. A268319, A267477.

%K nonn

%O 1,1

%A _Giovanni Resta_, Nov 26 2018

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Last modified December 2 09:04 EST 2023. Contains 367515 sequences. (Running on oeis4.)