A098866 - OEIS

A098866

Decimal expansion of the sum_{n>0} of A000040(n)/exp(n), where A000040(k) gives the k-th prime number and exp(k) is the natural exponential of k.

1, 6, 5, 2, 1, 7, 9, 3, 9, 2, 5, 6, 1, 0, 5, 4, 9, 5, 5, 8, 8, 8, 2, 2, 0, 7, 6, 1, 4, 5, 7, 6, 5, 1, 2, 2, 4, 6, 6, 4, 7, 4, 1, 7, 0, 3, 3, 4, 9, 4, 1, 1, 7, 8, 4, 4, 9, 7, 2, 5, 9, 3, 3, 6, 6, 2, 9, 6, 8, 5, 9, 4, 7, 4, 8, 3, 6, 9, 1, 6, 3, 5, 2, 0, 5, 2, 5, 3, 9, 1, 2, 6, 9, 4, 9, 7, 9, 8, 3, 1, 3, 9, 2, 8, 5

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OFFSET

1,2

COMMENTS

Relates the growth of the n-th-prime function A000040(n) to the growth of the natural exponential exp(n)=e^n where e is Euler's number (A001113).

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

1.65217939256105495588822076145765122466474170334941178449725933662968594748369163520525391269497983139285...

MAPLE

f:=x->sum(ithprime(n)/exp(n), n=1..x); evalf[110](f(1500)); evalf[110](f(4000));

MATHEMATICA

RealDigits[Total[Table[Prime[k]/Exp[k], {k, 2000}]], 10, 110][[1]] (* Harvey P. Dale, Dec 18 2013 *)

CROSSREFS

Cf. A000040, A001113.

Sequence in context: A177938 A374529 A112282 * A144689 A221215 A199180

Adjacent sequences: A098863 A098864 A098865 * A098867 A098868 A098869

KEYWORD

cons,nonn

AUTHOR

Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 03 2004

STATUS

approved