A336069 Decimal expansion of the asymptotic density of numbers k divisible by A007949(k) (A336068).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Tibor Šalát, On the function a_p, p^a_p(n) || n (n > 1), Mathematica Slovaca, Vol. 44, No. 2 (1994), pp. 143-151.

Formula

Equals 2 * Sum_{k>=1} 1/(k * 3^(k - A007949(k) + 1)).

Example

0.287106131866347173222861038300495510591443812309388...

Mathematica

RealDigits[2 * Sum[1/k/3^(k + 1 - IntegerExponent[k, 3]), {k, 1, 1000}], 10, 100][[1]]

Crossrefs

Cf. A007949, A336067, A336068.

Sequence in context: A021781 A130820 A134877 * A085298 A011060 A278808

Adjacent sequences: A336066 A336067 A336068 * A336070 A336071 A336072

Keyword

nonn,cons

Author

Amiram Eldar, Jul 07 2020

Status

approved