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A184083
Decimal expansion of product_{p=primes} (1+1/2^p).
3
1, 4, 6, 2, 4, 3, 1, 2, 1, 9, 0, 0, 6, 9, 5, 9, 8, 0, 1, 3, 5, 7, 2, 2, 9, 0, 4, 0, 1, 8, 9, 7, 7, 7, 0, 5, 7, 4, 2, 5, 6, 5, 7, 5, 7, 5, 8, 0, 8, 7, 7, 8, 3, 2, 0, 1, 1, 6, 6, 9, 4, 2, 9, 9, 3, 1, 0, 3, 3, 8, 8, 9, 7, 7, 9, 3, 9, 7, 6
OFFSET
1,2
COMMENTS
Inverse of the constant A184084.
FORMULA
Equals product_{p in A000040} (1+2^(-p)) = sum_{n>=0} A000586(n)/2^n.
EXAMPLE
(1+1/2^2) *(1+1/2^3) *(1+1/2^5) *(1+1/2^7) *(1+1/2^11)* .... = 1.4624312190069598013...
MATHEMATICA
RealDigits[Times@@(1+1/2^Prime[Range[100]]), 10, 120][[1]] (* Harvey P. Dale, Sep 28 2013 *)
PROG
(PARI) prodeuler(p=2, 1e6, 1.+(1.>>p)) \\ Charles R Greathouse IV, Aug 09 2022
CROSSREFS
Sequence in context: A077158 A059854 A155991 * A244993 A160502 A010669
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Jan 09 2011
STATUS
approved