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 A058289 Integer nearest 10^n/(Ln (10^n) - 1.08366). 4
 -1, 8, 28, 172, 1231, 9588, 78543, 665140, 5768004, 50917519, 455743004, 4124599869, 37668527415, 346621096885, 3210012022164, 29890794226982, 279660033612131, 2627410589445923, 24775244142175635, 234381646366460804 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS "Adrien-Marie Legendre in 1778 published his work `Essai sur la theorie des nombres' where he proposed a modified form of the first approximation, pi(n) ~ n/ln n" . (Gullberg) REFERENCES Jan Gullberg, "Mathematics, From the Birth of Numbers," W.W. Norton and Company, NY and London, 1997, page 80. LINKS Harry J. Smith, Table of n, a(n) for n=0,...,500 MATHEMATICA Table[ Round[ 10^n /(Log[10^n] - 1.08366) ], {n, 0, 22} ] PROG (PARI) { default(realprecision, 1000); t=log(10); for (n=0, 500, write("b058289.txt", n, " ", round(10^n/(n*t - 1.08366))); ); } [From Harry J. Smith, Jun 22 2009] CROSSREFS Cf. A006880, A057754, A057793, A057834, A058290. Sequence in context: A200188 A110046 A027380 * A152014 A200034 A146977 Adjacent sequences:  A058286 A058287 A058288 * A058290 A058291 A058292 KEYWORD sign AUTHOR Robert G. Wilson v, Dec 07 2000 EXTENSIONS Corrected some terms. - Harry J. Smith, Jun 22 2009 STATUS approved

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Last modified May 20 23:29 EDT 2013. Contains 225465 sequences.