1,2

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.

Table of n, a(n) for n=1..17.

M.O. van Deventer in The Mathemagician and the Pied Puzzler edited by E. Berlekamp and T. Rodgers, AKPeters Publishers, pp. 245-251.

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

Sequence in context: A344483 A151923 A187264 * A018345 A082675 A201645

Adjacent sequences: A067495 A067496 A067497 * A067499 A067500 A067501

more,nonn

Henry Bottomley, Feb 22 2002

approved