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%I #11 Jul 04 2020 05:50:46
%S 57,68,182,193,239,307,318,432,443,557,568,682,693,807,818,932,943,
%T 1057,1068,1182,1193,1307,1318,1432,1443,1557,1568,1682,1693,1807,
%U 1818,1932,1943,1958,1985,2057,2068,2182,2193,2307,2318,2432,2436,2443,2557,2568
%N Numbers k such that k^2 + 1 is divisible by a cube.
%H Amiram Eldar, <a href="/A218562/b218562.txt">Table of n, a(n) for n = 1..10000</a>
%e 239 is in the sequence because 239^2 + 1 = 2 * 13 ^ 4.
%e 1985 is in the sequence because 1985^2 + 1 = 2 * 17 ^ 3 * 401.
%t Select[Range[2,2600],Max[Transpose[FactorInteger[#^2+1]][[2]]]>2&]
%Y Cf. A002522, A049532, A034939.
%Y Cf. A000578 (cubes).
%K nonn
%O 1,1
%A _Michel Lagneau_, Nov 02 2012
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