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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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MathSciNet review:
1461977
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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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Additional Information:
Shalosh
B.
Ekhad
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA 19122
Email:
ekhad@math.temple.edu
Doron
Zeilberger
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA 19122
Email:
zeilberg@math.temple.edu
DOI:
10.1090/S1079-6762-97-00026-7
PII:
S 1079-6762(97)00026-7
Received by editor(s):
May 6, 1997
Posted:
August 21, 1997
Additional Notes:
Supported in part by the NSF
Communicated by:
Ronald Graham
Copyright of article:
Copyright
1997,
American Mathematical Society
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