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Search: id:A067498
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| A067498 |
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Maximum number of reflections for a ray of light which reflects at n points (reflecting more than once at most or all points). |
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+0
1
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| 1, 3, 7, 11, 21, 27, 43, 51, 69, 83, 111, 123, 157, 171, 199, 227, 273
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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M.O. van Deventer in The Mathemagician and the Pied Puzzler edited by E. Berlekamp and T. Rodgers, AKPeters Publishers, pp. 245-251.
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FORMULA
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For p prime, a(p)=p^2-p+1.
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CROSSREFS
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Sequence in context: A057660 A130972 A151923 this_sequence A018345 A082675 A028831
Adjacent sequences: A067495 A067496 A067497 this_sequence A067499 A067500 A067501
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KEYWORD
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more,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 22 2002
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