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A117492 Decimal expansion of limit as n -> infinity of {1/2 ^ 1/3 ^ 1/5 ^ ... ^ 1/prime(2n-1)}. 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 (list; constant; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Mar 22 2006
STATUS
approved

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Last modified June 22 04:48 EDT 2024. Contains 373565 sequences. (Running on oeis4.)