

A188545


Fusible numbers.


3




OFFSET

0,2


COMMENTS

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 uparrow notation.  Ed Pegg Jr, Apr 03 2011; edited by Junyan Xu, Jan 04 2012


LINKS

Jeff Erickson, Fusible Numbers, 2010. (Caution: some claims from these slides later turned out to be incorrect.)


CROSSREFS



KEYWORD

nonn,hard,bref


AUTHOR



STATUS

approved



