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 A347616 #13 Jun 25 2022 00:25:59 %S A347616 1,3,6,22,27,63,70,582,663,763,774,2502,2515,2711,2936,68472,68489, %T A347616 74321,74340,82340,82781,83265,83288,415064,415689,416365,436048, %U A347616 458000,458029,485029,485060,34039492,34040581,34041737,34042962,35722578,35722615,35724059,35725580,38285580 %N A347616 a(n) = Sum_{k=1..n} k^Omega(k). %H A347616 Michael De Vlieger, <a href="/A347616/b347616.txt">Table of n, a(n) for n = 1..1000</a> %e A347616 a(5) = Sum_{k=1..5} k^Omega(k) = 1^0 + 2^1 + 3^1 + 4^2 + 5^1 = 27. %t A347616 Table[Sum[k^PrimeOmega[k], {k, n}], {n, 40}] %o A347616 (PARI) a(n) = sum(k=1, n, k^bigomega(k)); \\ _Michel Marcus_, Sep 09 2021 %Y A347616 Cf. A001222 (Omega), A347614. %Y A347616 Partial sums of A176029. %K A347616 nonn %O A347616 1,2 %A A347616 _Wesley Ivan Hurt_, Sep 08 2021