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A089687 Linear chaotic function based on log function from primes and prime distribution. 0
5, 4, 6, 6, 8, 7, 8, 11, 14, 12, 15, 13, 14, 16, 19, 18, 19, 18, 19, 20, 23, 20, 23, 26, 28, 29, 31, 27, 28, 29, 31, 34, 34, 39, 40, 37, 39, 41, 44, 40, 41, 40, 40, 42, 43, 42, 47, 48, 49, 51, 54, 48, 52, 55, 57, 60, 61, 56, 58, 52, 56, 62, 63, 64, 66, 64, 67, 71, 72, 66, 69, 65 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Based on function solution of: Solve[(Prime[n]+a*PrimePi[n])/(1+a)-Sqrt[Prime[n]*PrimePi[n]]=0,a] which gives a log type function a[n].

LINKS

Table of n, a(n) for n=2..73.

FORMULA

b(n) = Floor[Exp[(Prime[n] - Sqrt[(Prime[n]* PrimePi[n]]/(-PrimePi[n] + Sqrt[Prime[n]* PrimePi[n]]]]

MATHEMATICA

digits=200 b = Table[Floor[Exp[(Prime[n] - Sqrt[(Prime[n]* PrimePi[n]]/(-PrimePi[n] + Sqrt[Prime[n]* PrimePi[n]]]], {n, 2, digits}]

CROSSREFS

Sequence in context: A138255 A153451 A190143 * A251792 A159894 A011502

Adjacent sequences:  A089684 A089685 A089686 * A089688 A089689 A089690

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Jan 05 2004

STATUS

approved

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Last modified April 19 20:04 EDT 2019. Contains 322291 sequences. (Running on oeis4.)