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

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, 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, 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

Offset

1,2

Comments

The geometric mean of the Poisson distribution with parameter value 1 (A382093) approaches this constant.

Links

Table of n, a(n) for n=1..120.

Formula

Equals exp((Sum_{k>=2} log(k)/(k-1)!)/e) = exp(A193424/e).

Equals (Product_{k>=2} k^(1/(k-1)!)) ^ (1/e).

Example

1.774294375788813063406286573197109...

Mathematica

N[Exp [Sum[Log[i]/Factorial[i-1], {i, 2, Infinity}] / E ], 120]

Crossrefs

Cf. A193424, A381456, A381898, A382093.

Sequence in context: A198544 A353127 A247274 * A086315 A185577 A201517

Adjacent sequences: A382092 A382093 A382094 * A382096 A382097 A382098

Keyword

nonn,cons

Author

Jwalin Bhatt, Mar 25 2025

Status

approved