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A184082
Decimal expansion of product_{p=primes} (1-1/2^p).
2
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
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
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Jan 09 2011
STATUS
approved