A354619 - OEIS

%I #12 Jul 10 2022 16:44:47

%S 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,

%T 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,

%U 6,0,7,6,3,4,1,7,4,2,1,2,6,4,1,3,6,3,6

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

%C 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.

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

%e 6.43709014695037133442944294471...

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

%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Pi(R) + Exp(1) + EulerGamma(R);

%o (PARI) default(realprecision, 100); Pi + exp(1) + Euler

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

%K nonn,cons

%O 1,1

%A _Marco Ripà_, Jul 08 2022