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Decimal expansion of 1/(1 - W(1/e)), where W is the Lambert W function.
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%I #13 Aug 21 2024 11:19:51

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

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

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

%N Decimal expansion of 1/(1 - W(1/e)), where W is the Lambert W function.

%H Edgar Assing, <a href="https://www.math.uni-bonn.de/people/assing/lectures/gaps_in_primes.pdf">On gaps between primes</a>. See p. 45.

%F Equals 1/(1 - A202357).

%e 1.38593327599819425386062181488251586064513...

%t RealDigits[1/(1-ProductLog[1/E]),10,100][[1]]

%o (PARI) 1/(1-lambertw(1/exp(1))) \\ _Michel Marcus_, Aug 20 2024

%Y Cf. A202357.

%Y Cf. A141606, A299617, A299618, A299619, A299632, A299633, A307951, A322166.

%K nonn,cons

%O 1,2

%A _Stefano Spezia_, Aug 20 2024