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A078816 Maximum element in the continued fraction for (1/n)*sum(k>=0,1/2^2^k). +0
1
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 (list; graph; listen)
OFFSET

1,1

COMMENT

Values should be confirmed.

FORMULA

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

PROGRAM

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

CROSSREFS

Cf. A007400.

Sequence in context: A100357 A135358 A081846 this_sequence A051936 A101423 A146923

Adjacent sequences: A078813 A078814 A078815 this_sequence A078817 A078818 A078819

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 06 2002

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.


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