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.

A057834 Integer nearest to 10^n / log(10^n).

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%I A057834 #27 Sep 08 2022 08:45:02
%S A057834 4,22,145,1086,8686,72382,620421,5428681,48254942,434294482,
%T A057834 3948131654,36191206825,334072678387,3102103442166,28952965460217,
%U A057834 271434051189532,2554673422960305,24127471216847324,228576043106974646
%N A057834 Integer nearest to 10^n / log(10^n).
%C A057834 Legendre's Logarithmic Law: "In 1896, a full century after Adrienne Marie Legendre (1752 - 1833) guessed the approximate formula N/ln N for the number of primes up to N, Jacques Hadamard and Charles-Jacques de la Vallee-Poussin conclusively established it. They both lived for more than 50 years after producing their simultaneous but independent proofs." ... "In the meantime, Gauss and Riemann had made improved guesses expressed in terms of natural logarithms that we'll meet in Chapter 9."
%D A057834 John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of Springer-Verlag, NY, 1995, Pages 143 - 146.
%H A057834 Vladimir Pletser, <a href="/A057834/b057834.txt">Table of n, a(n) for n = 1..50</a>
%H A057834 Soren Laing Aletheia-Zomlefer, Lenny Fukshansky, Stephan Ramon Garcia, <a href="https://arxiv.org/abs/1807.08899">The Bateman-Horn Conjecture: Heuristics, History, and Applications</a>, arXiv:1807.08899 [math.NT], 2018-2019. See Table 1 p. 6.
%F A057834 a(n) = A050499(A011557(n)). - _Henry Bottomley_, Aug 10 2005
%t A057834 Table[ Round[ N[ 10^n / Log[ 10^n ] ] ], {n, 1, 22} ]
%o A057834 (Magma) [Round(10^n / Log(10^n)): n in [1..20]]; // _Vincenzo Librandi_, Jul 09 2015
%K A057834 nonn
%O A057834 1,1
%A A057834 _Robert G. Wilson v_, Nov 08 2000
%E A057834 Corrected by _Henry Bottomley_, Aug 10 2005