A078816 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Values should be confirmed.`
	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 A101423 A146923` `Adjacent sequences: A078813 A078814 A078815 * A078817 A078818 A078819`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 06 2002`

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.