A330479 - OEIS

%I #14 Jan 14 2023 13:36:04

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

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

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

%N Decimal expansion of 2*e^2-2 (or 2*(e^2-1)).

%C Solution of the equation W(x+W(x+W(...))) = 2, where W(x) is the Lambert W function.

%C 2*e^2-2 is a transcendental number.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals 2*(A072334 - 1).

%e 12.7781121978613004544608549211500156263606311411036946481742556450...

%t RealDigits[2*(E^2-1), 10, 105][[1]] (* _Amiram Eldar_, Dec 19 2019 *)

%Y Cf. A001113, A072334.

%K easy,cons,nonn

%O 2,2

%A _Eder Vanzei_, Dec 15 2019