A239725 Decimal expansion of sum(1/k^(phi(k)), k=1..infinity), where phi(n) is the Euler totient function.

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

Offset

1,2

Comments

Rational approximation: 29329/17218.

Continued fraction: (1, 1, 2, 2, 1, 2, 4, 36, 3, 1, 11, …).

Links

Table of n, a(n) for n=1..87.

Example

1.70339179928153054530520483941958492888306265194505541291458253107862176...

Maple

with(numtheory); P:=proc(q) local k; print(evalf(add(1/k^phi(k), k=1..q), 100)); end: P(1000);

Crossrefs

Cf. A000010, A192265, A192266.

Sequence in context: A324479 A355184 A215479 * A126583 A220359 A021591

Adjacent sequences: A239722 A239723 A239724 * A239726 A239727 A239728

Keyword

nonn,cons

Author

Paolo P. Lava, Mar 25 2014

Status

approved