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A226744 Round((10^n)/(log(10^n) - 1)). 2
8, 28, 169, 1218, 9512, 78030, 661459, 5740304, 50701542, 454011971, 4110416301, 37550193650, 345618860221, 3201414635781, 29816233849001, 279007258230820, 2621647966812031, 24723998785919976, 233922961602470391, 2219671974013732243 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

A. M. Legendre, Essai sur la Théorie des Nombres, Paris: Duprat, 1808.

LINKS

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Legendre's Constant

Eric Weisstein's World of Mathematics, Prime Counting Function

Eric Weisstein's World of Mathematics, Prime Number Theorem

FORMULA

a(n) = round((10^n)/(log(10^n) - 1)).

EXAMPLE

a(2) = 28 because (10^2)/(log(10^2) - 1) = 27.7379415786....

MATHEMATICA

Table[Round[10^n/(Log[10^n] - 1)], {n, 20}]

PROG

(PARI) for(n=1, 20, print1(round(10^n/(log(10^n)-1)), ", "));

CROSSREFS

Another version of A193257.

Cf. A058289, A006880, A057834, A000720.

Sequence in context: A255276 A110046 A027380 * A058289 A152014 A316512

Adjacent sequences:  A226741 A226742 A226743 * A226745 A226746 A226747

KEYWORD

nonn

AUTHOR

Arkadiusz Wesolowski, Aug 31 2013

STATUS

approved

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Last modified November 15 14:06 EST 2019. Contains 329149 sequences. (Running on oeis4.)