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Currently published by the American Institute of Mathematical Sciences as Electronic Research Announcements in Mathematical Sciences

Proof of Conway's lost cosmological theorem

Author(s): Shalosh B. Ekhad; Doron Zeilberger
Journal: Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 78-82.
MSC (1991): Primary 05Axx
Posted: August 21, 1997
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Abstract | References | Similar articles | Additional information

Abstract: John Horton Conway's Cosmological Theorem about sequences like 1, 11, 21, 1211, 111221, 312211,..., for which no extant proof existed, is given a new proof, this time hopefully for good.

References:

[AHK]: K. Appel, W. Haken, and J. Koch, Every planar map is four-colorable, Illinois J. Math. 21 (1977), 429-567. MR 58:27598a; MR 58:27598b
[C]: J. H. Conway, The weird and wonderful chemistry of audioactive decay, Open Problems in Communication and Computation (T.M. Cover and B. Gopinath, eds.), Springer, 1987, pp. 173-188. MR 89c:94003
[CG]: J. H. Conway and R. K. Guy, The book of numbers, Copernicus, New York, 1996. CMP 97:02
[F]: S. Finch, Favorite Mathematical Constants Website.
[RSST]: N. Robertson, D. P. Sanders, P. Seymour, and R. Thomas, A new proof of The Four-Color Theorem, ERA Amer. Math. Soc. 2 (1996), 17-25.
[SP]: N. J. A. Sloane and S. Plouffe, The encyclopedia of integer sequences, Academic Press, San Diego, CA, 1995. MR 96a:11001
[V]: I. Vardi, Computational recreations in Mathematica, Addison-Wesley, 1991. MR 93e:00002


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