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A217713 Integer part of log(n)^2. 0
0, 0, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Limit(Prime(n), n->Infinity) = n*log(n).

Limit(PrimePi(n), n->Infinity) = n/log(n).

Then ratio lengths are:

Limit(Prime(n)/PrimePi(n), n->Infinity) = n*log(n)/)n/log(n) = log(n)^2.

LINKS

Table of n, a(n) for n=0..70.

FORMULA

a(n) = floor(log(n)^2).

MATHEMATICA

Table[Floor[Log[n]^2], {n, 1, 100}]

CROSSREFS

Cf. A111114.

Sequence in context: A062575 A073188 A269225 * A047740 A137687 A024745

Adjacent sequences:  A217710 A217711 A217712 * A217714 A217715 A217716

KEYWORD

nonn,easy

AUTHOR

Roger L. Bagula, Mar 21 2013

STATUS

approved

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Last modified August 19 18:33 EDT 2019. Contains 326133 sequences. (Running on oeis4.)