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.

A351751 a(n) = Sum_{p|n, p prime} p^sigma_p(p).

This page as a plain text file.
%I A351751 #7 Apr 01 2025 19:15:32
%S A351751 0,32,22876792454961,32
%N A351751 a(n) = Sum_{p|n, p prime} p^sigma_p(p).
%C A351751 a(5) has 2185 digits.
%C A351751 Inverse Möbius transform of n^sigma_n(n) * c(n), where c(n) is the characteristic function of primes (A010051). - _Wesley Ivan Hurt_, Apr 01 2025
%F A351751 a(n) = Sum_{d|n} d^sigma_d(d) * c(d), where c = A010051. - _Wesley Ivan Hurt_, Apr 01 2025
%e A351751 a(3) = 22876792454961; a(3) = Sum_{p|3, p prime} p^sigma_p(p) = 3^(1^3 + 3^3) = 3^28 = 22876792454961.
%Y A351751 Cf. A010051, A023887 (sigma_n(n)), A351749.
%K A351751 nonn
%O A351751 1,2
%A A351751 _Wesley Ivan Hurt_, Feb 17 2022