A184082 Decimal expansion of product_{p=primes} (1-1/2^p).

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

Offset

0,1

Links

Table of n, a(n) for n=0..88.

Formula

Equals product_{p in A000040} (1-2^(-p)) = sum_{n>=0} A046675(n)/2^n.

Example

(1-1/2^2) *(1-1/2^3) *(1-1/2^5) *(1-1/2^7) *(1-1/2^11) *.... = 0.63038440599136615460222582...

Mathematica

RealDigits[Times@@(1-1/2^Prime[Range[100]]), 10, 120][[1]] (* Harvey P. Dale, Jun 26 2011 *)

Crossrefs

Sequence in context: A355653 A195738 A322632 * A198868 A249733 A241532

Adjacent sequences: A184079 A184080 A184081 * A184083 A184084 A184085

Keyword

cons,nonn

Author

R. J. Mathar, Jan 09 2011

Status

approved