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.

A334064 Decimal expansion of Sum_{k>=1} 1/sigma_3(k).

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%I A334064 #35 Sep 20 2020 01:30:54
%S A334064 1,1,8,3,4,7,3,5,0,6,1,7,8,8,5,1,1,0,3,8,5,7,3,4,2,3,6,8,2,9,5,2,0,9,
%T A334064 6,9,4,5,3,6,5,7,1,0,2,1,4,0,7,1,7,5,9,7,7,1,6,8,4,7,8,8,5,3,5,4,1,7,
%U A334064 4,1,4,4,2,1,4,3,5,3,4,7,6,7,5,4,1,0,9,2,0,5,9,7,8,3,9,4,0,9,4,9,2,2,8,5,5
%N A334064 Decimal expansion of Sum_{k>=1} 1/sigma_3(k).
%F A334064 Product_p Sum_{k>=0} 1/sigma_3(p^k).
%e A334064 1.183473506178851103857342368295209694536571021407175977168478853541741442...
%t A334064 $MaxExtraPrecision = 1000; Do[Clear[f]; f[p_] := (1 + Sum[(p^3 - 1)/(p^(3 e + 3) - 1), {e, 1, emax}]); m = 1000; cc = Rest[CoefficientList[Series[Log[f[1/x]], {x, 0, m+3}], x]]; Print[f[2]*Exp[N[Sum[Indexed[cc, n]*(PrimeZetaP[n] - 1/2^n), {n, 2, m}], 120]]], {emax, 100, 400, 100}]
%Y A334064 Cf. A001158, A064603, A109694.
%K A334064 nonn,cons
%O A334064 1,3
%A A334064 _Vaclav Kotesovec_, Sep 19 2020