A262276 Decimal expansion of Toth's constant (or digits of the density of the exponentially squarefree numbers).

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

Offset

0,1

Links

Table of n, a(n) for n=0..162.

Vladimir Shevelev, A fast computation of density of exponentially S-numbers, arXiv:1602.04244 [math.NT], 2016.

Laszlo Tóth, On certain arithmetic functions involving exponential divisors, II., Annales Univ. Sci. Budapest., Sect. Comp., 27 (2007), 155-166.

Formula

Equals Product_{prime p} (1+Sum_{j>=4} (mu(j)^2 - mu(j-1)^2)/p^j), where mu(n) is the Möbius function.

Example

0.95592301586190237688406538670987007467715943165456868832805...

Crossrefs

Density of A209061.

Sequence in context: A155534 A154683 A200026 * A244844 A255896 A346011

Adjacent sequences: A262273 A262274 A262275 * A262277 A262278 A262279

Keyword

nonn,cons

Author

Juan Arias-de-Reyna, Sep 19 2015

Status

approved