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Numbers k such that x^3 - y^2 = k has a unique solution.
1

%I #11 Mar 07 2022 16:14:07

%S 2,13,19,44,49,74,146,193,301,506,589,767,769,866,868

%N Numbers k such that x^3 - y^2 = k has a unique solution.

%C Apparently this is an incomplete version of A179164. (Note that the sign-switched y are counted individually in A179164 and A179163.) - _R. J. Mathar_, Mar 07 2022

%D H. Brocard, Query 2312, L'Intermédiaire des Mathématiciens, 10 (1903), 283-284.

%H LMFDB <a href="https://www.lmfdb.org/EllipticCurve/Q/73008/bk/1">13</a>, <a href="https://www.lmfdb.org/EllipticCurve/Q/12996/f/1">19</a>, <a href="https://www.lmfdb.org/EllipticCurve/Q/4356/f/1">44</a>

%Y Cf. A350977.

%K nonn,more

%O 1,1

%A _N. J. A. Sloane_, Mar 06 2022