A117492 Decimal expansion of limit as n -> infinity of {1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(2n-1)}.

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

Offset

0,1

Comments

This is the lower limit (limit inferior) 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. A117493 gives the upper limit.

Links

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

Example

0.60908124348550431887169450547066980...

Prog

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

Crossrefs

Cf. A117493.

Sequence in context: A240251 A114530 A085673 * A022903 A331239 A324008

Adjacent sequences: A117489 A117490 A117491 * A117493 A117494 A117495

Keyword

cons,nonn

Author

Rick L. Shepherd, Mar 22 2006

Status

approved