|
|
A098990
|
|
Decimal expansion of Sum_{n>=1} prime(n)/(2^n).
|
|
8
|
|
|
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;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Relates the growth of the n-th prime function A000040(n) to the base-2 exponential of n.
|
|
LINKS
|
|
|
FORMULA
|
Equals Sum_{n>=1} prime(n)/2^n.
|
|
EXAMPLE
|
3.6746439660113287789956763090840294116777975887794373283122052201763...
|
|
MAPLE
|
f:=N->sum(ithprime(n)/2^n, n=1..N); evalf[106](f(500)); evalf[106](f(1000));
|
|
MATHEMATICA
|
RealDigits[Sum[Prime[i]/2^i, {i, 1000}], 10, 120][[1]] (* Harvey P. Dale, Apr 10 2012 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 07 2004
|
|
STATUS
|
approved
|
|
|
|