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A323828 Decimal expansion of a constant related to Bertrand's Postulate. 0

%I

%S 3,5,6,7,9,7,6,0,9,0,9,8,4,6,6,3,4,6,1,2,3,6,6,0,0,7,7,3,7,1,9,2,5,2,

%T 6,4,2,5,5,2,7,9,4,3,0,2,8,9,7,7,9,1,3,3,1,1,1,7,0,1,1,6,6,8,8,9,8,9,

%U 1,9,3,0,9,2,0,0,5,1,4,6,0,2,5,8,3,4,2,9,4,0,7,4,1,6,0,4,9,4,7,7,7,5

%N Decimal expansion of a constant related to Bertrand's Postulate.

%H Dylan Fridman et al., <a href="https://www.researchgate.net/publication/330746181_A_Prime-Representing_Constant">A prime-representing constant</a>, Amer. Math. Monthly 126 (2019), 72-73 (on ResearchGate).

%F 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

%e 3.5679760909846634612366007737192526425527943028977913311170116688989193092...

%p evalf(Sum((2^(k-1) + 1)/Product(2^(i-1) + 2, i=1..k-1), k=1..infinity), 120); # _Vaclav Kotesovec_, Jun 04 2019

%o (Sage)

%o def g(n):

%o return sum((2^(k-1) + 1)/prod(2^(i-1) + 2 for i in (1..k-1))

%o for k in (1..n))

%o N(g(100), digits=102) # _Freddy Barrera_, Feb 17 2019

%Y Cf. A249720, A051254.

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_, Feb 01 2019

%E More terms from _Freddy Barrera_, Feb 17 2019

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Last modified April 8 21:27 EDT 2020. Contains 333329 sequences. (Running on oeis4.)