id:A090668 - OEIS Search Results

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A sequence based on the ratios of distributions of primes and composite numbers.

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1

2, 1, 1, 4, 5, 9, 10, 15, 23, 34, 31, 43, 41, 49, 60, 75, 73, 83, 81, 94, 105, 122, 116, 133, 155, 171, 185, 203, 188, 205, 211, 229, 251, 266, 298, 314, 301, 326, 346, 372, 358, 374, 369, 386, 407, 424, 422, 459, 482, 500, 524, 552, 524, 561, 589, 618, 648, 669 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`By adding one to the distribution of primes function an initial n=1 singularity is averted.`
	FORMULA	`r[n_]=(1+PrimePi[n])/(n-PrimePi[n]) a(n) = Floor[(1/r[n])*Prime[n]]`
	MATHEMATICA	`d=237 r[n_]=(1+PrimePi[n])/(n-PrimePi[n]) aa=Table[Floor[(1/r[n])*Prime[n]], {n, 1, d}]`
	CROSSREFS	`Sequence in context: A102610 A134172 A078047 this_sequence A034870 A011016 A096540` `Adjacent sequences: A090665 A090666 A090667 this_sequence A090669 A090670 A090671`
	KEYWORD	`nonn,uned`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Dec 16 2003`

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.

AT&T Labs Research