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 A369185 #11 Jan 16 2024 08:33:06 %S A369185 45,104,105,165,260,261,344,345,357,440,465,476,477,561,776,860,861, %T A369185 884,885,981,1016,1017,1112,1160,1185,1269,1281,1395,1424,1544,1572, %U A369185 1624,1644,1652,1683,1808,1812,1827,1905,1917,1989,2037,2060,2061,2097,2145,2277,2444,2445,2805,2817,2852,2877 %N A369185 Numbers k such that Omega(k) = 1 + Omega(k+1) = 2 + Omega(k+2). %C A369185 Numbers k such that both k and k+1 are in A369139. %H A369185 Robert Israel, <a href="/A369185/b369185.txt">Table of n, a(n) for n = 1..10000</a> %e A369185 a(4) = 165 is a term because 165 = 3 * 5 * 11 has 3 prime factors (counted with multiplicity), 166 = 2 * 83 has 2 and 167 (which is prime) has 1. %p A369185 N:= 10^4: # for terms <= N %p A369185 V:= map(numtheory:-bigomega, [$1..N+2]): %p A369185 select(t -> V[t] = 1 + V[t+1] and V[t] = 2 + V[t+2], [$1..N]); %Y A369185 Cf. A001222, A369139. Includes x-2 for x in A201147. %K A369185 nonn %O A369185 1,1 %A A369185 _Zak Seidov_ and _Robert Israel_, Jan 15 2024