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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A356705 a(n) is the least k such that Mordell's equation y^2 = x^3 - k^3 has exactly 2*n+1 integral solutions.

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%I A356705 #16 Aug 05 2024 12:46:35
%S A356705 1,11,6,38,7,63,416,2600,10400,93600
%N A356705 a(n) is the least k such that Mordell's equation y^2 = x^3 - k^3 has exactly 2*n+1 integral solutions.
%C A356705 a(n) is the least k such that y^2 = x^3 - k^3 has exactly n solutions with y positive, or exactly n+1 solutions with y nonnegative.
%F A356705 a(n) = A179175(2*n+1)^(1/3).
%e A356705 a(1) = 11 since y^2 = x^3 - 11^3 has exactly 3 solutions (11,0) and (443,+-9324), and the number of solutions to y^2 = x^3 - k^3 is not 3 for 0 < k < 11.
%e A356705 a(2) = 6 since y^2 = x^3 - 6^3 has exactly 5 solutions (6,0), (10,+-28), and (33,+-189), and the number of solutions to y^2 = x^3 - k^3 is not 5 for 0 < k < 6.
%e A356705 a(4) = 7 since y^2 = x^3 - 7^3 has exactly 9 solutions (7,0), (8,+-13), (14,+-49), (28,+-147), and (154,+-1911), and the number of solutions to y^2 = x^3 - k^3 is not 9 for 0 < k < 7.
%Y A356705 Cf. A081119, A081120, A179162, A179175, A356704.
%K A356705 nonn,hard,more
%O A356705 0,2
%A A356705 _Jianing Song_, Aug 23 2022
%E A356705 a(7)-a(9) from _Jose Aranda_, Aug 05 2024