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 A351749 #7 Apr 01 2025 18:49:21
%S A351749 0,5,28,5,3126,33,823544,5,28,3131,285311670612,33,302875106592254,
%T A351749 823549,3154,5,827240261886336764178,33,1978419655660313589123980,
%U A351749 3131,823572,285311670617,20880467999847912034355032910568,33,3126,302875106592259
%N A351749 a(n) = Sum_{p|n, p prime} sigma_p(p).
%C A351749 Inverse Möbius transform of sigma_n(n) * c(n), where c(n) is the characteristic function of primes (A010051). - _Wesley Ivan Hurt_, Apr 01 2025
%F A351749 a(p^k) = p^p + 1, for p prime and k >= 1.
%F A351749 a(n) = Sum_{d|n} sigma_d(d) * c(d), where c = A010051. - _Wesley Ivan Hurt_, Apr 01 2025
%e A351749 a(6) = 33; a(6) = Sum_{p|6, p prime} sigma_p(p) = sigma_2(2) + sigma_3(3) = (1^2 + 2^2) + (1^3 + 3^3) = 33.
%Y A351749 Cf. A010051, A023887 (sigma_n(n)).
%K A351749 nonn
%O A351749 1,2
%A A351749 _Wesley Ivan Hurt_, Feb 17 2022