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%I #11 Feb 24 2014 05:48:40
%S 1,7,1,0,1,1,3,5,2,9,7,9,9,2,5,6,4,3,3,4,9,6,6,8,2,5,7,8,9,2,7,5,7,1,
%T 4,3,7,2,4,7,0,1,1,1,0,7,8,0,0,0,6,1,5,9,6,2,0,2,6,8,3,8,7,4,6,8,4,3,
%U 5,7,2,8,9,0,8,6,1,5,0,5,3,6,2,9,3,7,4
%N Decimal representation of continued fraction phi(1), phi(2), phi(3), phi(4), ...
%H Paolo P. Lava, <a href="/A223855/b223855.txt">Table of n, a(n) for n = 1..1000</a>
%e 1.710113529799256433496682578927...
%e = [1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 10, 4, 12, 6, 8, ...]
%p with(numtheory);
%p A223855:=proc(q) local a,n; a:=phi(q+1);
%p for n from q by -1 to 1 do a:=1/a+phi(n); od; print(evalf(a,100)); end:
%p A223855(10^5);
%t digits = 100; ContinuedFraction[Table[EulerPhi[n], {n, 1, digits}]] // Flatten // FromContinuedFraction // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Feb 24 2014 *)
%Y Cf. A000010, A223854, A223856.
%K nonn,cons
%O 1,2
%A _Paolo P. Lava_, Mar 28 2013
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