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A058289
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Integer nearest 10^n/(Ln (10^n) - 1.08366).
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4
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-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)
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OFFSET
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0,2
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COMMENTS
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"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)
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REFERENCES
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Jan Gullberg, "Mathematics, From the Birth of Numbers," W.W. Norton and Company, NY and London, 1997, page 80.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,500
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MATHEMATICA
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Table[ Round[ 10^n /(Log[10^n] - 1.08366) ], {n, 0, 22} ]
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PROG
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(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]
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CROSSREFS
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Cf. A006880, A057754, A057793, A057834, A058290.
Sequence in context: A200188 A110046 A027380 * A152014 A200034 A146977
Adjacent sequences: A058286 A058287 A058288 * A058290 A058291 A058292
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KEYWORD
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sign
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AUTHOR
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Robert G. Wilson v, Dec 07 2000
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EXTENSIONS
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Corrected some terms. - Harry J. Smith, Jun 22 2009
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STATUS
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approved
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