A335011 Decimal expansion of Product_{k>=1} (1 - 1/2^k)^k.
0, 9, 9, 6, 7, 9, 7, 3, 1, 2, 6, 2, 8, 7, 9, 9, 8, 5, 4, 6, 4, 6, 6, 5, 3, 5, 6, 0, 4, 6, 8, 4, 7, 3, 0, 4, 9, 6, 3, 4, 4, 4, 6, 1, 5, 0, 9, 7, 3, 1, 7, 5, 3, 0, 1, 2, 6, 4, 0, 9, 1, 8, 5, 5, 5, 4, 5, 6, 0, 6, 3, 0, 5, 0, 0, 9, 8, 0, 8, 2, 4, 2, 5, 3, 8, 6, 5, 2, 4, 0, 7, 2, 7, 6, 9, 2, 2, 4, 7, 3, 3, 5, 4, 3, 9, 4
Offset: 0
Examples
0.0996797312628799854646653560468473049634446150973175301264091855545606305...
Programs
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Maple
evalf(exp(-Sum(2^j / (j * (2^j - 1)^2), j=1..infinity)), 120);
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PARI
prodinf(k=1, (1 - 1/2^k)^k)
Formula
Equals exp(-Sum_{j>=1} 2^j / (j * (2^j - 1)^2)).