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.

A357819 Denominators of the partial sums of the reciprocals of the Dedekind psi function (A001615).

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%I A357819 #9 Oct 15 2022 07:19:28
%S A357819 1,3,12,4,12,1,8,24,24,72,72,36,252,504,126,504,504,504,2520,840,3360,
%T A357819 10080,10080,10080,2016,2016,2016,2016,10080,10080,5040,1260,5040,
%U A357819 15120,7560,3780,71820,17955,143640,17955,35910,574560,6320160,6320160,6320160,6320160
%N A357819 Denominators of the partial sums of the reciprocals of the Dedekind psi function (A001615).
%C A357819 See A357818 for more details.
%F A357819 a(n) = denominator(Sum_{k=1..n} 1/psi(k)).
%t A357819 psi[n_] := n * Times @@ (1 + 1/Transpose[FactorInteger[n]][[1]]); psi[1] = 1; Denominator[Accumulate[1/Array[psi[#] &, 50]]]
%o A357819 (PARI) f(n) = n * sumdivmult(n, d, issquarefree(d)/d); \\ A001615
%o A357819 a(n) = denominator(sum(k=1, n, 1/f(k))); \\ _Michel Marcus_, Oct 15 2022
%Y A357819 Cf. A001615, A173290, A357818 (numerators).
%Y A357819 Similar sequences: A048049, A104529, A212718.
%K A357819 nonn,frac
%O A357819 1,2
%A A357819 _Amiram Eldar_, Oct 14 2022