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A239725
Decimal expansion of sum(1/k^(phi(k)), k=1..infinity), where phi(n) is the Euler totient function.
1
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, …).
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
KEYWORD
nonn,cons
AUTHOR
Paolo P. Lava, Mar 25 2014
STATUS
approved