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.

A353078 Inverse Moebius transform of odd primes.

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%I A353078 #9 Apr 26 2022 11:53:05
%S A353078 3,8,10,19,16,32,22,42,39,52,40,84,46,74,76,101,64,128,74,136,108,128,
%T A353078 92,204,117,154,146,194,116,256,134,238,186,218,186,337,166,246,226,
%U A353078 338,184,368,196,336,304,308,226,490,251,386,310,406,254,492,316,486,352,398,284,664
%N A353078 Inverse Moebius transform of odd primes.
%F A353078 G.f.: Sum_{k>=1} prime(k+1) * x^k / (1 - x^k).
%F A353078 a(n) = Sum_{d|n} prime(d+1).
%t A353078 nmax = 60; CoefficientList[Series[Sum[Prime[k + 1] x^k/(1 - x^k), {k, 1, nmax}], {x, 0, nmax}], x] // Rest
%t A353078 Table[DivisorSum[n, Prime[# + 1] &], {n, 1, 60}]
%o A353078 (PARI) a(n) =sumdiv(n, d, prime(d+1)); \\ _Michel Marcus_, Apr 22 2022
%Y A353078 Cf. A007445, A030014, A065091.
%K A353078 nonn
%O A353078 1,1
%A A353078 _Ilya Gutkovskiy_, Apr 22 2022