A117493 Decimal expansion of limit as n -> infinity of {1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(2n)}.

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

Offset

0,1

Comments

This is the upper limit (limit superior) as m -> infinity of the sequence of real numbers 1/2, 1/2 ^ 1/3, 1/2 ^ 1/3 ^ 1/5, ..., 1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(m). The sequence oscillates. A117492 gives the lower limit.

Links

Table of n, a(n) for n=0..104.

Example

0.71940503124509211880908153356476875...

Prog

(PARI) /* Call procedure with large even value for m */ a(m) = r=1/prime(m); forstep(k=m-1, 1, -1, r=(1/prime(k))^r); r

Crossrefs

Cf. A117492.

Sequence in context: A069609 A019855 A200288 * A177515 A196825 A021143

Adjacent sequences: A117490 A117491 A117492 * A117494 A117495 A117496

Keyword

cons,nonn

Author

Rick L. Shepherd, Mar 22 2006

Status

approved