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.
%I A218565 #13 Jul 04 2020 05:51:38 %S A218565 1068,14557,16693,30182,32318,45807,47943,61432,63568,77057,79193, %T A218565 92682,94818,108307,110443,123932,126068,139557,141693,155182,157318, %U A218565 170807,172943,186432,188568,202057,204193,217682,219818,233307,235443,248932,251068,264557 %N A218565 Numbers k such that k^2 + 1 is divisible by a 6th power. %H A218565 Amiram Eldar, <a href="/A218565/b218565.txt">Table of n, a(n) for n = 1..10000</a> %e A218565 1068 is in the sequence because 1068^2 + 1 = 5^6 * 73. %e A218565 390112 is in the sequence because 390112^2 + 1 = 5 * 13 * 17 ^ 6 * 97. %e A218565 1999509 is in the sequence because 1999509^2 + 1 = 2 * 13 ^ 6 * 29 * 14281. %t A218565 Select[Range[2,27000],Max[Transpose[FactorInteger[#^2+1]][[2]]]>5&] %Y A218565 Cf. A002522, A049532, A034939, A218562, A218563, A218564. %Y A218565 Cf. A001014 (6th powers). %K A218565 nonn %O A218565 1,1 %A A218565 _Michel Lagneau_, Nov 02 2012