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 A361205 #16 Oct 01 2023 02:32:49
%S A361205 0,1,1,0,1,2,1,-1,0,2,1,1,1,2,2,-2,1,1,1,1,2,2,1,0,0,2,-1,1,1,3,1,-3,
%T A361205 2,2,2,0,1,2,2,0,1,3,1,1,1,2,1,-1,0,1,2,1,1,0,2,0,2,2,1,2,1,2,1,-4,2,
%U A361205 3,1,1,2,3,1,-1,1,2,1,1,2,3,1,-1,-2,2,1,2
%N A361205 a(n) = 2*omega(n) - bigomega(n).
%H A361205 Amiram Eldar, <a href="/A361205/b361205.txt">Table of n, a(n) for n = 1..10000</a>
%F A361205 Additive with a(p^e) = 2 - e. - _Amiram Eldar_, Mar 26 2023
%F A361205 Sum_{k=1..n} a(k) = n * log(log(n)) + c * n + O(n/log(n)), where c = 2*A077761 - A083342 = A077761 - A136141 = -0.511659... . - _Amiram Eldar_, Oct 01 2023
%t A361205 Table[2*PrimeNu[n]-PrimeOmega[n],{n,100}]
%Y A361205 Without doubling omega we have -A046660.
%Y A361205 Positions of 0's are A067801, counted by A239959.
%Y A361205 Positions of negative terms are A360558, counted by A360254.
%Y A361205 Positions of nonpositive terms are A361204, counted by A237363.
%Y A361205 Positions of positive terms are A361393, counted by A237365.
%Y A361205 Positions of nonnegative terms are A361395, counted by A361394.
%Y A361205 A001221 (omega) counts distinct prime factors.
%Y A361205 A001222 (bigomega) counts prime factors.
%Y A361205 A112798 lists prime indices, sum A056239.
%Y A361205 Cf. A061395, A067340, A111907, A324517, A324522, A326567/A326568.
%Y A361205 Cf. A077761, A083342, A136141.
%K A361205 sign,easy
%O A361205 1,6
%A A361205 _Gus Wiseman_, Mar 16 2023