A354619 Decimal expansion of Pi + e + gamma, where gamma is Euler's constant (or the Euler-Mascheroni constant).

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

Offset

1,1

Comments

Although in 1737 Euler proved that e is irrational and in 1761 Lambert proved the same for Pi, it is not presently known whether Pi + e + gamma is rational or irrational.

Links

Table of n, a(n) for n=1..87.

Formula

Equals A000796 + A001113 + A001620 = 2*e + A211015.

Example

6.43709014695037133442944294471...

Mathematica

RealDigits[Pi+E+EulerGamma, 10, 100][[1]]

Prog

(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R) + Exp(1) + EulerGamma(R);
(PARI) default(realprecision, 100); Pi + exp(1) + Euler

Crossrefs

Cf. A000796, A001113, A001620, A203816, A211015.

Sequence in context: A200104 A154747 A217515 * A079624 A035335 A011097

Adjacent sequences: A354616 A354617 A354618 * A354620 A354621 A354622

Keyword

nonn,cons

Author

Marco Ripà, Jul 08 2022

Status

approved