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

0,1

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

Example

0.435611028292172174213122545158086502293746907188068...

Mathematica

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

Crossrefs

Cf. A007814, A336066, A336069.

Sequence in context: A049008 A280023 A170816 * A133981 A226211 A296413

Adjacent sequences: A336064 A336065 A336066 * A336068 A336069 A336070

Keyword

nonn,cons

Author

Amiram Eldar, Jul 07 2020

Status

approved