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A098990
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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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0
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Relates the growth of the n-th prime function A000040(n) to the base-2 exponential of n.
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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]
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EXAMPLE
| 3.67464396601132877899567630908402941167779758877943732831220522017637986704482836041745476457880190113752...
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MAPLE
| f:=N->sum(ithprime(n)/2^n, n=1..N); evalf[106](f(500)); evalf[106](f(1000));
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CROSSREFS
| Cf. A000040.
Sequence in context: A177035 A055102 A198457 * A162195 A117361 A165952
Adjacent sequences: A098987 A098988 A098989 * A098991 A098992 A098993
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KEYWORD
| cons,nonn
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AUTHOR
| Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 07 2004
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