id:A098882 - OEIS Search Results

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Decimal expansion of the sum_{n>0} of (A000040(n+1)-A000040(n))/(2^n), where A000040(k) gives the k-th prime number.

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1, 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	`1,2`
	LINKS	`Eric Weisstein's World of Mathematics, Prime Number`
	EXAMPLE	`1.67464396601132877899567630908402941167779758877943732831220522017637986704482836041745476457880190113752...`
	MAPLE	`g:=N->sum((ithprime(n+1)-ithprime(n))/2^n, n=1..N); evalf[106](g(5000)); evalf[106](g(10000));`
	CROSSREFS	`Cf. A000040.` `Sequence in context: A019932 A004447 A005351 this_sequence A019616 A073177 A111969` `Adjacent sequences: A098879 A098880 A098881 this_sequence A098883 A098884 A098885`
	KEYWORD	`cons,nonn`
	AUTHOR	`Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 03 2004`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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