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a(n) = Sum_{d|n} Sum_{p|n, p prime} p^d.
1

%I #5 Feb 18 2022 18:50:52

%S 0,6,30,22,3130,846,823550,278,19713,9769842,285311670622,536480,

%T 302875106592266,678223912966,30531930560,65814,827240261886336764194,

%U 387703674,1978419655660313589123998,95367442459684,558545874544463320,81402749387125076980422,20880467999847912034355032910590

%N a(n) = Sum_{d|n} Sum_{p|n, p prime} p^d.

%e a(6) = 846; a(6) = Sum_{d|6} Sum_{p|6, p prime} p^d = Sum_{d|6} (2^d + 3^d) = (2^1 + 3^1) + (2^2 + 3^2) + (2^3 + 3^3) + (2^6 + 3^6) = 846.

%Y Cf. A351774.

%K nonn

%O 1,2

%A _Wesley Ivan Hurt_, Feb 18 2022