cp's OEIS Frontend

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.

A369743 a(n) = Sum_{p|n, p prime} p * Omega(n/p).

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%I A369743 #11 Jun 26 2024 21:50:28
%S A369743 0,0,0,2,0,5,0,4,3,7,0,10,0,9,8,6,0,10,0,14,10,13,0,15,5,15,6,18,0,20,
%T A369743 0,8,14,19,12,15,0,21,16,21,0,24,0,26,16,25,0,20,7,14,20,30,0,15,16,
%U A369743 27,22,31,0,30,0,33,20,10,18,32,0,38,26,28,0,20,0,39,16
%N A369743 a(n) = Sum_{p|n, p prime} p * Omega(n/p).
%F A369743 a(p^k) = p*(k-1), for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024
%t A369743 Table[DivisorSum[n, #*PrimeOmega[n/#] &, PrimeQ[#] &], {n, 100}]
%Y A369743 Cf. A001222 (Omega), A329347, A369741.
%K A369743 nonn,easy
%O A369743 1,4
%A A369743 _Wesley Ivan Hurt_, Jan 30 2024