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A058289
Integer nearest 10^n/(log(10^n) - 1.08366).
5
-1, 8, 28, 172, 1231, 9588, 78543, 665140, 5768004, 50917519, 455743004, 4124599869, 37668527415, 346621096885, 3210012022164, 29890794226982, 279660033612131, 2627410589445923, 24775244142175635, 234381646366460804
OFFSET
0,2
COMMENTS
"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)
REFERENCES
Jan Gullberg, "Mathematics, From the Birth of Numbers," W. W. Norton and Company, NY and London, 1997, page 80.
LINKS
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))); ); } \\ Harry J. Smith, Jun 22 2009
CROSSREFS
KEYWORD
sign
AUTHOR
Robert G. Wilson v, Dec 07 2000
EXTENSIONS
Corrected some terms. - Harry J. Smith, Jun 22 2009
STATUS
approved