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.

A340819 Denominators of a sequence of fractions converging to A340820, the asymptotic density of numbers whose excess of prime divisors (A046660) is even (A162644).

This page as a plain text file.
%I A340819 #9 Jan 28 2021 03:35:28
%S A340819 6,9,54,4,264,308,7854,374,1564,11339,362848,127541072,1307295988,
%T A340819 2614591976,42742894912,1132686715168,4608863185856,71437379380768,
%U A340819 162734350229389504,46216555465146619136,427503138052606227008,270181983249247135469056,64347502466822129824768
%N A340819 Denominators of a sequence of fractions converging to A340820, the asymptotic density of numbers whose excess of prime divisors (A046660) is even (A162644).
%C A340819 See A340818 for details.
%H A340819 Amiram Eldar, <a href="/A340819/b340819.txt">Table of n, a(n) for n = 1..462</a>
%t A340819 d[p_] := 1/(p*(p + 1)); delta[n_] := delta[n] = d[Prime[n]]; f[0] = 1; f[n_] := f[n] = f[n - 1] * (1 - delta[n]) + (1 - f[n - 1]) * delta[n]; Denominator @ Array[f, 30]
%Y A340819 Cf. A046660, A162644, A340818 (numerators), A340820.
%K A340819 nonn,frac
%O A340819 1,1
%A A340819 _Amiram Eldar_, Jan 22 2021