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 A325120 #6 Mar 30 2019 08:36:43
%S A325120 0,1,2,2,2,3,3,3,4,3,3,4,3,4,4,4,3,5,4,4,5,4,4,5,4,4,6,5,4,5,4,5,5,4,
%T A325120 5,6,4,5,5,5,4,6,4,5,6,5,4,6,6,5,5,5,5,7,5,6,6,5,5,6,5,5,7,6,5,6,5,5,
%U A325120 6,6,5,7,5,5,6,6,6,6,5,6,8,5,5,7,5,5,6
%N A325120 Sum of binary lengths of the prime indices of n.
%C A325120 The binary length of n is the number of digits in its binary representation. A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
%F A325120 Totally additive with a(prime(n)) = A070939(n).
%t A325120 Table[Sum[pr[[2]]*IntegerLength[PrimePi[pr[[1]]],2],{pr,FactorInteger[n]}],{n,100}]
%Y A325120 Cf. A000120, A000720, A001222, A019565, A048881, A070939, A112798.
%Y A325120 Cf. A325103, A325104, A325106, A325118, A325119.
%Y A325120 Other totally additive sequences: A056239, A302242, A318994, A318995, A325033, A325034, A325121, A325122.
%K A325120 nonn
%O A325120 1,3
%A A325120 _Gus Wiseman_, Mar 29 2019