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A336067 Decimal expansion of the asymptotic density of numbers k divisible by A007814(k) (A336066). 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified July 25 12:15 EDT 2021. Contains 346290 sequences. (Running on oeis4.)