cp's OEIS Frontend

A382095 Decimal expansion of exp((Sum_{k>=2} log(k)/(k-1)!)/e).

%I A382095 #31 Apr 01 2025 23:11:23
%S A382095 1,7,7,4,2,9,4,3,7,5,7,8,8,8,1,3,0,6,3,4,0,6,2,8,6,5,7,3,1,9,7,1,0,8,
%T A382095 9,4,2,9,2,4,2,2,2,9,1,4,2,9,7,5,4,2,1,8,0,1,4,8,0,8,5,1,7,2,5,1,0,0,
%U A382095 4,1,3,1,8,2,1,1,5,7,6,3,9,1,0,6,3,8,7,2,7,4,9,6,0,8,5,1,4,2,6,7,7,5,3,8,9,4,3,3,0,3,6,2,7,5,3,0,0,6,8,2
%N A382095 Decimal expansion of exp((Sum_{k>=2} log(k)/(k-1)!)/e).
%C A382095 The geometric mean of the Poisson distribution with parameter value 1 (A382093) approaches this constant.
%F A382095 Equals exp((Sum_{k>=2} log(k)/(k-1)!)/e) = exp(A193424/e).
%F A382095 Equals (Product_{k>=2} k^(1/(k-1)!)) ^ (1/e).
%e A382095 1.774294375788813063406286573197109...
%t A382095 N[Exp [Sum[Log[i]/Factorial[i-1], {i, 2, Infinity}] / E ], 120]
%Y A382095 Cf. A193424, A381456, A381898, A382093.
%K A382095 nonn,cons
%O A382095 1,2
%A A382095 _Jwalin Bhatt_, Mar 25 2025