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.

A351750 a(n) = Sum_{p|n, p prime} p * sigma_p(p).

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%I A351750 #5 Apr 01 2025 19:12:34
%S A351750 0,10,84,10,15630,94,5764808,10,84,15640,3138428376732,94,
%T A351750 3937376385699302,5764818,15714,10,14063084452067724991026,94,
%U A351750 37589973457545958193355620,15640,5764892,3138428376742,480250763996501976790165756943064,94,15630,3937376385699312
%N A351750 a(n) = Sum_{p|n, p prime} p * sigma_p(p).
%C A351750 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 A351750 a(n) = Sum_{d|n} d * sigma_d(d) * c(d), where c = A010051. - _Wesley Ivan Hurt_, Apr 01 2025
%e A351750 a(6) = 94; a(6) = Sum_{p|6, p prime} p * sigma_p(p) = 2 * sigma_2(2) + 3 * sigma_3(3) = 2 * (1^2 + 2^2) + 3 * (1^3 + 3^3) = 94.
%Y A351750 Cf. A010051, A023887 (sigma_n(n)), A351749.
%K A351750 nonn
%O A351750 1,2
%A A351750 _Wesley Ivan Hurt_, Feb 17 2022