A346404 Decimal expansion of Sum_{k>=1} A003418(k)/k!.

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, 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, 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

Offset

1,1

Comments

The constant is irrational (Sándor, 2002).

Links

Table of n, a(n) for n=1..100.

Felice Russo, On three problems concerning the Smarandache LCM sequence, Smarandache Notions Journal, Vol. 12, No. 1-3 (2001), pp. 153-156.

József Sándor, Geometric theorems, diophantine equations and arithmetic functions, American Research Press, Rehoboth, NM, USA, 2002. See p. 255.

Example

4.19595355606651964201375354017558522773039701414948...

Mathematica

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

Crossrefs

Cf. A003418, A064859.

Sequence in context: A259448 A200113 A065489 * A332385 A347968 A197258

Adjacent sequences: A346401 A346402 A346403 * A346405 A346406 A346407

Keyword

nonn,cons

Author

Amiram Eldar, Jul 15 2021

Status

approved