OFFSET
1,1
LINKS
Dylan Fridman et al., A prime-representing constant, Amer. Math. Monthly 126 (2019), 72-73 (on ResearchGate).
FORMULA
Sum_{k>=1} (2^(k-1) + 1)/(Product_{i=1..k-1} 2^(i-1) + 2). See Dylan Fridman et al. reference. - Freddy Barrera, Feb 17 2019
EXAMPLE
3.5679760909846634612366007737192526425527943028977913311170116688989193092...
MAPLE
evalf(Sum((2^(k-1) + 1)/Product(2^(i-1) + 2, i=1..k-1), k=1..infinity), 120); # Vaclav Kotesovec, Jun 04 2019
PROG
(Sage)
def g(n):
return sum((2^(k-1) + 1)/prod(2^(i-1) + 2 for i in (1..k-1))
for k in (1..n))
N(g(100), digits=102) # Freddy Barrera, Feb 17 2019
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
N. J. A. Sloane, Feb 01 2019
EXTENSIONS
More terms from Freddy Barrera, Feb 17 2019
STATUS
approved