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

Author

Paolo P. Lava, Mar 25 2014

Keywords

• nonn
• cons

Comments

Rational approximation: 29329/17218.

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

Examples

			1.70339179928153054530520483941958492888306265194505541291458253107862176...
		

Crossrefs

Cf. A000010, A192265, A192266.

Programs

Maple

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