id:A098990 - OEIS Search Results

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Decimal expansion of the sum_{n>0} of A000040(n)/(2^n), where A000040(k) gives the k-th prime number.

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3, 6, 7, 4, 6, 4, 3, 9, 6, 6, 0, 1, 1, 3, 2, 8, 7, 7, 8, 9, 9, 5, 6, 7, 6, 3, 0, 9, 0, 8, 4, 0, 2, 9, 4, 1, 1, 6, 7, 7, 7, 9, 7, 5, 8, 8, 7, 7, 9, 4, 3, 7, 3, 2, 8, 3, 1, 2, 2, 0, 5, 2, 2, 0, 1, 7, 6, 3, 7, 9, 8, 6, 7, 0, 4, 4, 8, 2, 8, 3, 6, 0, 4, 1, 7, 4, 5, 4, 7, 6, 4, 5, 7, 8, 8, 0, 1, 9, 0, 1, 1, 3, 7, 5, 2 (list; cons; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Relates the growth of the n-th prime function A000040(n) to the base-2 exponential of n.`
	FORMULA	`Sum(ithprime(i)/2^i, i=1..infinity)` `Equals 2 plus the constant in A098882. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 02 2008]`
	EXAMPLE	`3.67464396601132877899567630908402941167779758877943732831220522017637986704482836041745476457880190113752...`
	MAPLE	`f:=N->sum(ithprime(n)/2^n, n=1..N); evalf[106](f(500)); evalf[106](f(1000));`
	CROSSREFS	`Cf. A000040.` `Sequence in context: A065269 A137427 A055102 this_sequence A162195 A117361 A165952` `Adjacent sequences: A098987 A098988 A098989 this_sequence A098991 A098992 A098993`
	KEYWORD	`cons,nonn`
	AUTHOR	`Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 07 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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