A078816 Maximum element in the continued fraction for (1/n)*sum(k>=0,1/2^2^k).

6, 12, 19, 25, 33, 39, 46, 52, 60, 66, 72, 79, 85, 93, 99, 102, 112, 120, 126, 132, 139, 145, 153, 159, 166, 172, 180, 186, 192, 199, 205, 206, 219, 226, 232, 240, 246, 252, 259, 265, 273, 279, 286, 292, 300, 306, 313, 309, 326, 333, 339, 346, 352, 360, 366

Offset

1,1

Comments

Values should be confirmed.

Links

Table of n, a(n) for n=1..55.

Formula

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

Prog

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

Crossrefs

Cf. A007400.

Sequence in context: A135358 A187391 A081846 * A051936 A365702 A215342

Adjacent sequences: A078813 A078814 A078815 * A078817 A078818 A078819

Keyword

nonn

Author

Benoit Cloitre, Dec 06 2002

Status

approved