cp's OEIS Frontend

A077059 Numbers j such that j^2 + k^2 is a cube for some k > j.

%I A077059 #20 May 02 2025 22:37:06
%S A077059 0,2,5,7,9,10,16,17,18,26,30,35,36,37,38,40,44,47,50,51,54,56,58,60,
%T A077059 65,72,73,74,75,80,82,88,95,97,101,102,106,107,115,122,128,130,135,
%U A077059 136,140,142,143,144,145,146,150,154,164,170,174,182,187,189,190
%N A077059 Numbers j such that j^2 + k^2 is a cube for some k > j.
%C A077059 The values of minimal k in A077060 and A077061. The values of corresponding c in A077062.
%F A077059 j is in this sequence if for some integer k > j, j^2 + k^2 = c^3.
%e A077059 2 is in the sequence because 2^2 + 11^2 = 5^3;
%e A077059 7 is in the sequence because 7^2 + 524^2 = 65^3;
%e A077059 1 is not in the sequence because 1^2 + k^2 is not a cube for any k > 1;
%e A077059 3 is not in the sequence because 3^2 + k^2 is not a cube for any k > 3.
%e A077059 174 is in the sequence because 174^2 + 406^2 = 58^3. - _Sean A. Irvine_, May 02 2025
%Y A077059 Cf. A076600, A077060, A077061, A077062.
%K A077059 nonn
%O A077059 1,2
%A A077059 _Zak Seidov_, Oct 23 2002, Jan 02 2008
%E A077059 Corrected and extended by _Max Alekseyev_, Dec 14 2011
%E A077059 Missing 174 inserted by _Sean A. Irvine_, May 02 2025