A394999 Decimal expansion of gamma*phi, where gamma is the Euler-Mascheroni constant and phi = (1+sqrt(5))/2 is the golden ratio.

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

Offset

0,1

Comments

It is not known whether this constant is irrational or transcendental.

Links

Table of n, a(n) for n=0..104.

Formula

Equals A001620 * A001622.

Example

0.93395456464954989517284750098623200465426838097822813...

Mathematica

RealDigits[EulerGamma*GoldenRatio, 10, 105][[1]]

Prog

(PARI) default(realprecision, 50); Euler*(1+sqrt(5))/2
(Python) from mpmath import mp, euler, phi; mp.dps=50; print(euler*phi)

Crossrefs

Cf. A001620 (Euler-Mascheroni constant gamma), A001622 (golden ratio phi).

Sequence in context: A177910 A198416 A388404 * A097902 A139425 A356637

Adjacent sequences: A394996 A394997 A394998 * A395000 A395001 A395002

Keyword

nonn,cons

Author

Rudra Jadhav, May 22 2026

Status

approved