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 A180150 #11 Jan 14 2024 15:53:00
%S A180150 54,88,150,196,232,248,294,306,328,340,342,348,460,488,490,568,570,
%T A180150 664,712,738,774,850,856,858,868,870,948,1012,1014,1060,1096,1110,
%U A180150 1148,1190,1204,1206,1208,1210,1218,1254,1274,1276,1290,1302,1314,1420,1430,1448
%N A180150 Numbers n such that n and n+2 are both divisible by exactly 4 primes (counted with multiplicity).
%C A180150 "Quadruprimes" or "4-almost primes" that keep that property when incremented by 2. This sequence is to 4 as 3 is to A180117, as A092207 is to 2, and as A001359 is to 1. That is, this sequence is the 4th row of the infinite array A[k,n] = n-th natural number m such that m and m+2 are both divisible by exactly k primes (counted with multiplicity). The first row is the lesser of twin primes. The second row is the sequence such that m and m+2 are both semiprimes.
%H A180150 Charles R Greathouse IV, <a href="/A180150/b180150.txt">Table of n, a(n) for n = 1..10000</a>
%F A180150 {m in A014613 and m+2 in A014613} = {m such that bigomega(m) = bigomega(m+2) = 4} = {m such that A001222(m) = A001222(m+2) = 4}.
%e A180150 a(1) = 54 because 54 = 2 * 3^3 is divisible by exactly 4 primes (counted with multiplicity), and so is 54+2 = 56 = 2^3 * 7.
%t A180150 SequencePosition[PrimeOmega[Range[1500]],{4,_,4}][[;;,1]] (* _Harvey P. Dale_, Jan 14 2024 *)
%o A180150 (PARI) is(n)=bigomega(n)==4 && bigomega(n+2)==4 \\ _Charles R Greathouse IV_, Jan 31 2017
%Y A180150 Cf. A000040, A001222, A001358, A014614, A033987, A101637, A114106 (number of 4-almost primes <= 10^n).
%K A180150 easy,nonn
%O A180150 1,1
%A A180150 _Jonathan Vos Post_, Aug 12 2010
%E A180150 More terms from _R. J. Mathar_, Aug 13 2010