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Maximum element in the continued fraction for (1/n)*sum(k>=0,1/2^2^k).
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%I #5 Mar 30 2012 18:39:11

%S 6,12,19,25,33,39,46,52,60,66,72,79,85,93,99,102,112,120,126,132,139,

%T 145,153,159,166,172,180,186,192,199,205,206,219,226,232,240,246,252,

%U 259,265,273,279,286,292,300,306,313,309,326,333,339,346,352,360,366

%N Maximum element in the continued fraction for (1/n)*sum(k>=0,1/2^2^k).

%C Values should be confirmed.

%F Conjecture : a(n) is asymptotic to c*n with 6<c<7

%o (PARI) a(n)=vecmax(contfrac(sum(k=0,20,1/2^2^k)/n))

%Y Cf. A007400.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Dec 06 2002