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 A344459 #6 Mar 31 2025 14:01:17
%S A344459 1,3,4,19,6,42,8,531,85,108,12,1786,14,206,234,66067,18,5955,20,8124,
%T A344459 452,498,24,334074,631,692,19768,22174,30,27372,32,33620499,1104,1176,
%U A344459 1238,1687315,38,1466,1538,2568636,42,74774,44,85698,91440,2142,48,255203578,2409
%N A344459 a(n) = Sum_{d|n} d^Omega(d).
%C A344459 If p is prime, a(n) = Sum_{d|p} d^Omega(d) = 1^0 + p^1 = p + 1.
%C A344459 Inverse Möbius transform of n^Omega(n). - _Wesley Ivan Hurt_, Mar 31 2025
%e A344459 a(8) = Sum_{d|8} d^Omega(d) = 1^0 + 2^1 + 4^2 + 8^3 = 531.
%t A344459 Table[Sum[k^PrimeOmega[k] (1 - Ceiling[n/k] + Floor[n/k]), {k, n}], {n, 80}]
%Y A344459 Cf. A001222 (Omega).
%K A344459 nonn
%O A344459 1,2
%A A344459 _Wesley Ivan Hurt_, May 19 2021