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.

A064859 Decimal expansion of sum of reciprocals of lcm(1..n) = A003418(n).

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%I A064859 #38 Jan 14 2023 05:19:55
%S A064859 1,7,8,7,7,8,0,4,5,6,1,7,2,4,6,6,5,4,6,0,6,4,9,3,4,3,2,6,0,2,5,6,6,2,
%T A064859 7,9,4,5,9,3,9,6,1,7,4,7,2,9,6,9,6,0,8,3,7,2,5,3,0,2,6,9,9,2,9,2,2,8,
%U A064859 9,0,2,3,5,0,8,2,2,3,2,6,1,5,5,2,8,3,3,6,8,7,8,0,8,5,6,9,7,9,7,9,9,4,6,9,5
%N A064859 Decimal expansion of sum of reciprocals of lcm(1..n) = A003418(n).
%C A064859 This constant is irrational (Erdős and Graham, 1980). - _Amiram Eldar_, Apr 13 2020
%H A064859 Paul Erdős and Ronald L. Graham, <a href="http://www.math.ucsd.edu/~fan/ron/papers/80_11_number_theory.pdf">Old and new problems and results in combinatorial number theory</a>, L'enseignement Mathématique, Université de Genève, 1980. See p. 65.
%H A064859 Martin Griffiths and Des MacHale, <a href="https://www.jstor.org/stable/24496914">99.04 Another irrational number</a>, The Mathematical Gazette, Vol. 99, No. 544 (2015), pp. 130-133.
%H A064859 Michael Penn, <a href="https://www.youtube.com/watch?v=r6-oqnyUG3g">An irrational sum</a>, YouTube video, 2022.
%F A064859 Equals Sum_{j>=1} 1/lcm(1..j).
%e A064859 1.7877804561724665460649343260256627945939617472969608372530269929228902350...
%t A064859 f[n_] := LCM @@ Range@ n; RealDigits[Plus @@ (1/Array[f, 255]), 10, 111][[1]] (* _Robert G. Wilson v_, Jul 11 2011 *)
%o A064859 (PARI) suminf(k=1, 1/lcm(vector(k, j, j))) \\ _Michel Marcus_, Mar 11 2018
%Y A064859 Cf. A003418, A064857, A064858.
%K A064859 nonn,cons
%O A064859 1,2
%A A064859 _Labos Elemer_, Oct 08 2001