A394586 Decimal expansion of the shape parameter that leads to the same mean and mode of the Weibull distribution.

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

Offset

1,1

Links

Table of n, a(n) for n=1..91.

Wikipedia, Weibull distribution

Example

3.3124691675303957232438514251101589776...

Mathematica

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

Prog

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

Crossrefs

A394587 is the corresponding function value of mean and mode.

Cf. A244009, A394584, A394585, A394588.

Sequence in context: A010264 A262816 A089680 * A309507 A306690 A160326

Adjacent sequences: A394583 A394584 A394585 * A394587 A394588 A394589

Keyword

nonn,cons

Author

Hugo Pfoertner, Mar 25 2026

Status

approved