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A188545 Fusible numbers. 3
1, 3, 10 (list; graph; refs; listen; history; text; internal format)
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 up-arrow notation. - Ed Pegg Jr, Apr 03 2011; edited by Junyan Xu, Jan 04 2012

LINKS

Table of n, a(n) for n=0..2.

Jeff Erickson, Fusible Numbers, 2010.

Ed Pegg Jr, YouTube: The Fuse Problem.

Junyan Xu, Survey on Fusible Numbers, 2011.

CROSSREFS

Sequence in context: A057269 A113116 A137044 * A212361 A011998 A278759

Adjacent sequences:  A188542 A188543 A188544 * A188546 A188547 A188548

KEYWORD

nonn,hard,bref

AUTHOR

Ed Pegg Jr, Apr 03 2011

STATUS

approved

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Last modified October 18 00:21 EDT 2019. Contains 328135 sequences. (Running on oeis4.)