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 A168629 #10 Jun 29 2021 14:52:51 %S A168629 1105,1130,1462,1644,1742,1767,2014,2222,2232,2260,2337,2365,2397, %T A168629 2464,2541,2667,2684,2697,2702,2755,2821,2914,3074,3115,3195,3289, %U A168629 3332,3477,3484,3514,3552,3619,3657,3685,3782,3783,3842,3965,4014,4088,4122,4147,4277 %N A168629 Numbers n such that n,n+1 and sum of this two numbers have at least 3 distinct prime factors. %e A168629 1105 = 5*13*17, 1106 = 2*7*79, 1105 + 1106 = 2211 = 3*11*67. %p A168629 q:= n-> andmap(x-> nops(numtheory[factorset](x))>2, [n, n+1, 2*n+1]): %p A168629 select(q, [$1..4600])[]; # _Alois P. Heinz_, Jun 29 2021 %t A168629 f[n_]:=Length[FactorInteger[n]]; lst={};Do[If[f[n]>=3&&f[n+1]>=3&&f[n+n+1]>=3,AppendTo[lst,n]],{n,8!}];lst %Y A168629 Cf. A140077, A140078, A168626, A168628. %K A168629 nonn %O A168629 1,1 %A A168629 _Vladimir Joseph Stephan Orlovsky_, Dec 01 2009