A394584 Decimal expansion of the shape parameter that leads to the same mean and median of the Weibull distribution.

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

Offset

1,1

Links

Table of n, a(n) for n=1..92.

Wikipedia, Weibull distribution

Example

3.439540619422384593753586285923491959...

Mathematica

RealDigits[x /. FindRoot[Gamma[1 + 1/x] == Log[2]^(1/x), {x, 3}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Apr 19 2026 *)

Prog

(PARI) solve (x=3, 4, gamma(1+1/x) - log(2)^(1/x))

Crossrefs

A394585 is the corresponding function value of mean and median.

Cf. A244009, A394586, A394587, A394588.

Sequence in context: A015887 A158134 A184853 * A174280 A172004 A051508

Adjacent sequences: A394581 A394582 A394583 * A394585 A394586 A394587

Keyword

nonn,cons

Author

Hugo Pfoertner, Mar 25 2026

Status

approved