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.

A345893 a(n) = Sum_{d|n} n^phi(d).

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%I A345893 #9 Jun 29 2021 10:51:09
%S A345893 1,4,12,24,630,84,117656,4176,531531,20020,25937424612,21192,
%T A345893 23298085122494,15059100,2562941490,4295033120,48661191875666868498,
%U A345893 68025132,104127350297911241532860,25600320440,7355827597153224,53119845582892,907846434775996175406740561352
%N A345893 a(n) = Sum_{d|n} n^phi(d).
%F A345893 a(prime(n)) = A104129(n). - _Michel Marcus_, Jun 29 2021
%e A345893 a(6) = Sum_{d|6} 6^phi(d) = 6^phi(1) + 6^phi(2) + 6^phi(3) + 6^phi(6) = 6^1 + 6^1 + 6^2 + 6^2 = 84.
%t A345893 a[n_] := DivisorSum[n, n^EulerPhi[#] &]; Array[a, 23] (* _Amiram Eldar_, Jun 29 2021 *)
%o A345893 (PARI) a(n) = sumdiv(n, d, n^eulerphi(d)); \\ _Michel Marcus_, Jun 29 2021
%Y A345893 Cf. A000010 (phi), A104129.
%K A345893 nonn
%O A345893 1,2
%A A345893 _Wesley Ivan Hurt_, Jun 28 2021