id:A089687 - OEIS Search Results

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Linear chaotic function based on log function from primes and prime distribution.

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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; listen)

	OFFSET	`2,1`
	COMMENT	`Based on function solution of: Solve[(Prime[n]+aPrimePi[n])/(1+a)-Sqrt[Prime[n]PrimePi[n]]=0,a] which gives a log type function a[n].`
	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: A021187 A075194 A138255 this_sequence A011502 A097995 A019124` `Adjacent sequences: A089684 A089685 A089686 this_sequence A089688 A089689 A089690`
	KEYWORD	`nonn,uned`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 05 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research