A126226 Continued fraction of Product_{primes p} ((p-1)/p)^(1/p).

0, 1, 1, 3, 1, 2, 11, 1, 1, 4, 1, 9, 2, 2, 1, 1, 4, 4, 2, 2, 2, 1, 14, 1, 2, 2, 2, 7, 2, 2, 1, 1, 4, 2, 4, 1, 11, 7, 2, 8, 32, 2, 1, 293, 2, 145, 1, 2, 1, 21, 1, 1, 3, 1, 1, 8, 8, 5, 2, 3, 4, 3, 1, 3, 1, 1, 1, 1, 3, 2, 1, 3, 1, 2, 2, 1, 2, 19, 3, 2, 1, 15, 1, 2, 1, 2, 5, 3, 1, 1, 1, 38, 1, 10, 1, 2, 1, 80, 1

Offset

0,4

Comments

This might be interpreted as the expected value of phi(n)/n for very large n. - David W. Wilson, Dec 05 2006

Links

Table of n, a(n) for n=0..98.

Example

0.55986561693237348...

Prog

(PARI) contfrac(exp(-suminf(m=2, log(zeta(m))*sumdiv(m, k, if(k<m, moebius(k)/(m-k), 0)))))

Crossrefs

Cf. A124175, A085548, A085541, A085964, A085965, A085966, A085967, A085968, A085969.

Sequence in context: A300612 A301354 A229187 * A307665 A144156 A116854

Adjacent sequences: A126223 A126224 A126225 * A126227 A126228 A126229

Keyword

cofr,nonn

Author

Martin Fuller, Dec 20 2006

Status

approved