Proof of Conway’s lost cosmological theorem
Authors:
Shalosh B. Ekhad and Doron Zeilberger
Journal:
Electron. Res. Announc. Amer. Math. Soc. 3 (1997), 78-82
MSC (1991):
Primary 05Axx
DOI:
https://doi.org/10.1090/S1079-6762-97-00026-7
Published electronically:
August 21, 1997
Accompanying material:
Maple Program
Accompanying material:
Program input file
Accompanying material:
Program output file
MathSciNet review:
1461977
Full-text PDF Free Access
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.
- Leo F. Epstein, A function related to the series for $e^{e^x}$, J. Math. Phys. Mass. Inst. Tech. 18 (1939), 153–173. MR 58, DOI 10.1002/sapm1939181153
- Thomas M. Cover and B. Gopinath (eds.), Open problems in communication and computation, Springer-Verlag, New York, 1987. MR 922073, DOI 10.1007/978-1-4612-4808-8
- J. H. Conway and R. K. Guy, The book of numbers, Copernicus, New York, 1996.
- S. Finch, Favorite Mathematical Constants Website, t o 4cm http://www.mathsoft.com/asolve/constant/cnwy/cnwy.html.
- 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.
- N. J. A. Sloane and Simon Plouffe, The encyclopedia of integer sequences, Academic Press, Inc., San Diego, CA, 1995. With a separately available computer disk. MR 1327059
- Ilan Vardi, Computational recreations in Mathematica, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1991. MR 1150054
- K. Appel, W. Haken, and J. Koch, Every planar map is four-colorable, Illinois J. Math. 21 (1977), 429–567.
- 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.
- J. H. Conway and R. K. Guy, The book of numbers, Copernicus, New York, 1996.
- S. Finch, Favorite Mathematical Constants Website, t o 4cm http://www.mathsoft.com/asolve/constant/cnwy/cnwy.html.
- 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.
- N. J. A. Sloane and S. Plouffe, The encyclopedia of integer sequences, Academic Press, San Diego, CA, 1995.
- I. Vardi, Computational recreations in Mathematica, Addison-Wesley, 1991.
Similar Articles
Retrieve articles in Electronic Research Announcements of the American Mathematical Society
with MSC (1991):
05Axx
Retrieve articles in all journals
with MSC (1991):
05Axx
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
Received by editor(s):
May 6, 1997
Published electronically:
August 21, 1997
Additional Notes:
Supported in part by the NSF
Communicated by:
Ronald Graham
Article copyright:
© Copyright 1997
American Mathematical Society