A346404 - OEIS

%I #8 Jul 16 2021 05:23:41

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

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

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

%N Decimal expansion of Sum_{k>=1} A003418(k)/k!.

%C The constant is irrational (Sándor, 2002).

%H Felice Russo, <a href="http://doi.org/10.5281/zenodo.9655">On three problems concerning the Smarandache LCM sequence</a>, Smarandache Notions Journal, Vol. 12, No. 1-3 (2001), pp. 153-156.

%H József Sándor, <a href="http://fs.unm.edu/JozsefSandor2.pdf">Geometric theorems, diophantine equations and arithmetic functions</a>, American Research Press, Rehoboth, NM, USA, 2002. See p. 255.

%e 4.19595355606651964201375354017558522773039701414948...

%t RealDigits[Sum[LCM @@ Range[k]/k!, {k, 1, 100}], 10, 100][[1]]

%Y Cf. A003418, A064859.

%K nonn,cons

%O 1,1

%A _Amiram Eldar_, Jul 15 2021