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A188545 Fusible numbers. 3

%I

%S 1,3,10

%N Fusible numbers.

%C Given irregular one minute fuses, the shortest amount of time that can be measured over n minutes is time(n) = n + 1/2^(fuse(n)) minutes. For example, fuse(1)=3, for 9/8 = 1 + 1/(2^fuse(1)). Over 2 minutes, time(2) = 2 + 1/(2^fuse(2)) = 2049/1024 minutes. The value for fuse(3) is larger than 2↑↑↑↑↑↑↑↑↑16, in Knuth's up-arrow notation. - _Ed Pegg Jr_, Apr 03 2011; edited by _Junyan Xu_, Jan 04 2012

%H Jeff Erickson, <a href="http://www.mathpuzzle.com/fusible.pdf">Fusible Numbers</a>, 2010.

%H Ed Pegg Jr, <a href="http://www.youtube.com/watch?v=IDEXASbtknw">YouTube: The Fuse Problem</a>.

%H Junyan Xu, <a href="http://dl.dropbox.com/u/53673505/fusible_survey.pdf">Survey on Fusible Numbers</a>, 2011.

%K nonn,hard,bref

%O 0,2

%A _Ed Pegg Jr_, Apr 03 2011

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Last modified September 15 04:28 EDT 2019. Contains 327062 sequences. (Running on oeis4.)