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 A185011 #10 Jun 09 2017 11:40:01 %S A185011 1,3,5,7,8,9,13,15,18,19,21,23,25,27,28,31,32,34,35,38,39,41,43,44,47, %T A185011 48,50,53,55,57,58,60,64,65,68,70,73,75,76,77,78,80,81,83,86,87,89,91, %U A185011 93,96,99,100,105,107,109,111,112,114,115,117,119,123,125 %N A185011 Numbers k such that P(k^2+1) < P((k+1)^2+1) where P(n) (A006530) is the largest prime factor of n. %H A185011 G. C. Greubel, <a href="/A185011/b185011.txt">Table of n, a(n) for n = 1..1000</a> %e A185011 8 is in the sequence because 8^2+1 = 5*13 and 9^2+1 = 2*41 => 13 < 41. %t A185011 f[n_]:=FactorInteger[n^2+1][[-1,1]];Select[Range[125],f[#]<f[#+1]&] %Y A185011 Cf. A002522, A070089, A006530, A070087, A185002. %K A185011 nonn %O A185011 1,2 %A A185011 _Michel Lagneau_, Jan 23 2012