A336067 Decimal expansion of the asymptotic density of numbers k divisible by A007814(k) (A336066).

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

Offset: 0

Author

Amiram Eldar, Jul 07 2020

Keywords

• nonn
• cons

Examples

			0.435611028292172174213122545158086502293746907188068...
		

Links

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

Crossrefs

Cf. A007814, A336066, A336069.

Programs

Mathematica

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

Formula

Equals Sum_{k>=1} 1/(k * 2^(k - A007814(k) + 1)).