A336067 - OEIS

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

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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]]