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A067498 Maximum number of reflections for a ray of light which reflects at n points (reflecting more than once at most or all points). 0

%I

%S 1,3,7,11,21,27,43,51,69,83,111,123,157,171,199,227,273

%N Maximum number of reflections for a ray of light which reflects at n points (reflecting more than once at most or all points).

%C The maxima occur when the points of reflection are arranged at the vertices of a regular n-gon and the ray (except entering and leaving) follows the edges and diagonals of the polygon.

%H M.O. van Deventer in <a href="http://www.g4g4.com/paul/BOOK.pdf">The Mathemagician and the Pied Puzzler</a> edited by E. Berlekamp and T. Rodgers, AKPeters Publishers, pp. 245-251.

%F For p prime, a(p)=p^2-p+1.

%K more,nonn

%O 1,2

%A _Henry Bottomley_, Feb 22 2002

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Last modified October 20 05:54 EDT 2021. Contains 348099 sequences. (Running on oeis4.)