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.

A357821 Denominators of the partial alternating sums of the reciprocals of the Dedekind psi function (A001615).

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%I A357821 #8 Oct 15 2022 07:21:58
%S A357821 1,3,12,4,12,6,24,8,24,72,72,18,63,504,63,504,168,504,2520,2520,10080,
%T A357821 1120,3360,3360,672,224,2016,2016,10080,10080,5040,2520,5040,15120,
%U A357821 1890,7560,143640,143640,17955,143640,143640,574560,6320160,6320160,6320160,6320160
%N A357821 Denominators of the partial alternating sums of the reciprocals of the Dedekind psi function (A001615).
%C A357821 See A357820 for more details.
%F A357821 a(n) = denominator(Sum_{k=1..n} (-1)^(k+1)/psi(k)).
%t A357821 psi[n_] := n * Times @@ (1 + 1/Transpose[FactorInteger[n]][[1]]); psi[1] = 1; Denominator[Accumulate[1/Array[(-1)^(# + 1)*psi[#] &, 50]]]
%o A357821 (PARI) f(n) = n * sumdivmult(n, d, issquarefree(d)/d); \\ A001615
%o A357821 a(n) = denominator(sum(k=1, n, (-1)^(k+1)/f(k))); \\ _Michel Marcus_, Oct 15 2022
%Y A357821 Cf. A001615, A173290, A357820 (numerators).
%Y A357821 Similar sequence: A211178.
%K A357821 nonn,frac
%O A357821 1,2
%A A357821 _Amiram Eldar_, Oct 14 2022