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%I #17 Jan 04 2016 01:39:36
%S -1,8,28,172,1231,9588,78543,665140,5768004,50917519,455743004,
%T 4124599869,37668527415,346621096885,3210012022164,29890794226982,
%U 279660033612131,2627410589445923,24775244142175635,234381646366460804
%N Integer nearest 10^n/(log(10^n) - 1.08366).
%C "Adrien-Marie Legendre in 1778 published his work 'Essai sur la théorie des nombres' where he proposed a modified form of the first approximation, pi(n) ~ n/ln n." (Gullberg)
%D Jan Gullberg, "Mathematics, From the Birth of Numbers," W. W. Norton and Company, NY and London, 1997, page 80.
%H Harry J. Smith, <a href="/A058289/b058289.txt">Table of n, a(n) for n = 0..500</a>
%t Table[ Round[ 10^n /(Log[10^n] - 1.08366) ], {n, 0, 22} ]
%o (PARI) { default(realprecision, 1000); t=log(10); for (n=0, 500, write("b058289.txt", n, " ", round(10^n/(n*t - 1.08366))); ); } \\ _Harry J. Smith_, Jun 22 2009
%Y Cf. A006880, A057754, A057793, A057834, A058290.
%K sign
%O 0,2
%A _Robert G. Wilson v_, Dec 07 2000
%E Corrected some terms. - _Harry J. Smith_, Jun 22 2009
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