The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. (Caution: some claims from these slides later turned out to be incorrect.) Jeff Erickson, Gabriel Nivasch, Junyan Xu, Fusible numbers and Peano Arithmetic, 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS); arXiv:2003.14342 [cs.LO], 2020. Ed Pegg Jr, YouTube: The Fuse Problem. Junyan Xu, Survey on Fusible Numbers, arXiv:1202.5614 [math.CO], 2012. CROSSREFS Cf. A283075, A287012. Sequence in context: A057269 A113116 A137044 * A336747 A212361 A011998 Adjacent sequences: A188542 A188543 A188544 * A188546 A188547 A188548 KEYWORD nonn,hard,bref AUTHOR Ed Pegg Jr, Apr 03 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 17 12:36 EDT 2024. Contains 373445 sequences. (Running on oeis4.)