cp's OEIS Frontend

A227242 Decimal expansion of (e^gamma - 1)/e^gamma.

%I A227242 #35 Jun 20 2025 17:04:40
%S A227242 4,3,8,5,4,0,5,1,6,4,3,3,1,1,4,8,3,0,1,7,5,8,5,6,7,8,5,2,0,9,1,1,9,2,
%T A227242 1,3,2,3,4,2,8,9,6,1,3,0,7,4,8,4,6,8,3,1,8,4,5,8,4,0,9,2,3,9,5,4,9,1,
%U A227242 2,0,3,2,9,2,5,7,1,4,3,6,2,8,6,7,1,2,8,8,4,1,0,6,5,7,8,5,6,4,1,2,3,2,6,8,0
%N A227242 Decimal expansion of (e^gamma - 1)/e^gamma.
%C A227242 The value is equal to lim_{n->oo} (Sum_{d|n#, d>n} 1/phi(d))/(Sum_{d|n#} 1/phi(d)).
%H A227242 G. C. Greubel, <a href="/A227242/b227242.txt">Table of n, a(n) for n = 0..5000</a>
%F A227242 From _Alois P. Heinz_, Feb 24 2022: (Start)
%F A227242 Equals 1 - exp(-gamma) = 1 - A080130.
%F A227242 Equals lim_{n->oo} A351901(n)/A000142(n). (End)
%e A227242 (exp(gamma) - 1)/exp(gamma) = 0.438540516433114830175856785....
%p A227242 evalf(1-exp(-gamma), 120);  # _Alois P. Heinz_, Feb 24 2022
%t A227242 RealDigits[(E^EulerGamma - 1)/E^EulerGamma, 10, 50][[1]] (* _G. C. Greubel_, Oct 02 2017 *)
%o A227242 (Magma) E:=EulerGamma(RealField(105)); Reverse(Intseq(Floor(10^105*(Exp(E)-1)/Exp(E))));
%o A227242 (PARI) default(realprecision, 105); x=10*(exp(Euler)-1)/exp(Euler); for(n=1, 105, d=floor(x); x=(x-d)*10; print1(d, ", "));
%Y A227242 Cf. A000142, A001113, A001620, A073004, A080130, A351901.
%K A227242 nonn,cons
%O A227242 0,1
%A A227242 _Arkadiusz Wesolowski_, Oct 19 2013