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

0,2

Links

Table of n, a(n) for n=0..105.

Formula

Equals exp(-Sum_{j>=1} 2^j / (j * (2^j - 1)^2)).

Example

0.0996797312628799854646653560468473049634446150973175301264091855545606305...

Maple

evalf(exp(-Sum(2^j / (j * (2^j - 1)^2), j=1..infinity)), 120);

Prog

(PARI) prodinf(k=1, (1 - 1/2^k)^k)

Crossrefs

Cf. A005329, A048651, A203305, A333938, A335010.

Sequence in context: A195790 A346444 A085984 * A157245 A334846 A072908

Adjacent sequences: A335008 A335009 A335010 * A335012 A335013 A335014

Keyword

nonn,cons

Author

Vaclav Kotesovec, May 19 2020

Status

approved