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A248380 a(n) = 1 if first player in Sylver coinage game can force a win by choosing n as the first number, otherwise a(n) = 2. 0

%I #48 Feb 22 2022 10:08:48

%S 2,2,2,2,1,2,1,2,2,2,1,2,1,2,2

%N a(n) = 1 if first player in Sylver coinage game can force a win by choosing n as the first number, otherwise a(n) = 2.

%C Although a(16) is not known, a few later terms are known. For example a(17)=1.

%C J. H. Conway offered $1000 for the value (with proof) of a(16).

%H Joshua Fallon, Kirsten Hogenson, Lauren Keough, Mario Lomelí, Marcus Schaefer, and Pablo Soberón, <a href="https://arxiv.org/abs/1808.00385">A Note on the Maximum Rectilinear Crossing Number of Spiders</a>, arXiv:1808.00385 [math.CO], 2018.

%H Aleksandar Jurišić and Janoš Vidali, <a href="https://doi.org/10.22405/2226-8383-2019-20-2-198-206">No strongly regular graph is locally Heawood</a>, Chebyshevskii Sbornik (2020) Vol. 20, No. 2, 199-206.

%H OEIS50 DIMACS Conference on Challenges of Identifying Integer Sequences, <a href="https://vimeo.com/109815595">Problem Session 2, Oct 10 2014</a>, J. H. Conway, Five $1000 Problems (starting at about 06.44). This sequence is mentioned in the first problem.

%H Tal Schuster, Ashwin Kalyan, Oleksandr Polozov, and Adam Tauman Kalai, <a href="https://arxiv.org/abs/2106.05784">Programming Puzzles</a>, arXiv:2106.05784 [cs.LG], 2021.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Sylver_coinage">Sylver coinage</a>

%H Sa’ar Zehavi and Ivo Fagundes David de Oliveira, <a href="https://pdfs.semanticscholar.org/e255/c947033f11fd269f9f9525a7bdfe02a27b77.pdf">Not Conway's 99-Graph Problem</a>, research paper, Department of Computer Science, Technion, Sep 15 2017.

%H Doron Zeilberger, <a href="http://sites.math.rutgers.edu/~zeilberg/oeis50.html">Videos of Talks Delivered in SLOANE75/OEIS50 DIMACS Conference on Challenges of Identifying Integer Sequences</a> (see Problem Session 2, Oct 10 2014)

%K nonn,more,hard

%O 1,1

%A _N. J. A. Sloane_, Oct 10 2014

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Last modified July 17 12:34 EDT 2024. Contains 374377 sequences. (Running on oeis4.)