OFFSET
1,2
COMMENTS
The constant is (12/Pi^2)*log(Product_{i>=0} (1+1/2^i)).
REFERENCES
Lhote, Loïck, and Brigitte Vallée. "Sharp estimates for the main parameters of the Euclid Algorithm." In Latin American Symposium on Theoretical Informatics, pp. 689-702. Springer, Berlin, Heidelberg, 2006.
FORMULA
Equals 12*log(QPochhammer(-1,1/2))/Pi^2. - Stefano Spezia, Jul 12 2021
EXAMPLE
1.89919324391088067944828320698125120791994827100906...
MAPLE
evalf(12/Pi^2*log(product(1+1/2^i, i=0..infinity)), 120); # Alois P. Heinz, Jul 12 2021
MATHEMATICA
RealDigits[(12/Pi^2)*Log[Product[1 + 1/2^i, {i, 0, Infinity}]], 10, 105][[1]] (* Amiram Eldar, Jul 12 2021 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Jul 12 2021
STATUS
approved