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 A364309 #19 Oct 01 2024 03:05:54 %S A364309 37960,44484,45694,50140,51428,55130,55384,61334,63364,64294,67164, %T A364309 68264,68474,70004,70090,71708,72708,76152,80444,81548,81718,82040, %U A364309 84434,85490,86240,90363,95380,97382,98020,99084,99384,99428,99788,100164,100490,100594,102254,102542,104804,105994,108204 %N A364309 Numbers k such that k, k+1 and k+2 have exactly 4 distinct prime factors. %H A364309 David A. Corneth, <a href="/A364309/b364309.txt">Table of n, a(n) for n = 1..10000</a> %F A364309 a(1) = A087966(3). %F A364309 a(n)+1 = A168628(n). %F A364309 {k: A001221(k) = A001221(k+1) = A001221(k+2) = 4}. %e A364309 37960 = 2^3*5*13*73, 37961 = 7*11*17*29, and 37962 = 2*3^3*19*37 each have 4 distinct prime factors, so 37960 is in the sequence. %t A364309 q[n_] := q[n] = PrimeNu[n] == 4; Select[Range[10^5], q[#] && q[#+1] && q[#+2] &] (* _Amiram Eldar_, Oct 01 2024 *) %Y A364309 Subsequence of A006073 and of A140078. %Y A364309 A176167 is a subsequence. %Y A364309 Cf. A364307 (2 factors), A364308 (3 factors), A364266 (5 factors), A364265 (6 factors), A001221, A087966, A168628. %K A364309 nonn %O A364309 1,1 %A A364309 _R. J. Mathar_, Jul 18 2023