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A057835
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Difference between pi(10^n) and the integer nearest to 10^n / log(10^n).
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4
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0, 3, 23, 143, 906, 6116, 44158, 332774, 2592592, 20758029, 169923159, 1416705193, 11992858452, 102838308636, 891604962452, 7804289844393, 68883734693928, 612483070893536, 5481624169369961, 49347193044659702, 446579871578168707
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OFFSET
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1,2
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REFERENCES
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John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of Springer-Verlag, NY, 1995, Page 146.
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LINKS
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Table of n, a(n) for n=1..21.
Wikipedia, Prime number theorem
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FORMULA
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a(n)=round[A006880(n)-A057834(n)] - Henry Bottomley, Aug 10 2005
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MATHEMATICA
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Table[ PrimePi[10^n] - Round[ N[ 10^n/Log[ 10^n ] ] ], {n, 1, 13} ]
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CROSSREFS
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Sequence in context: A179328 A089950 A198797 * A079755 A197176 A006184
Adjacent sequences: A057832 A057833 A057834 * A057836 A057837 A057838
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v, Nov 08 2000
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EXTENSIONS
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More terms from Jud McCranie, Jun 21 2005
Corrected and extended by Henry Bottomley, Aug 10 2005
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STATUS
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approved
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