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A108053 Maximum number of diagonals of a regular n-gon that meet at a non-center point. +0
1
0, 2, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 7, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 7, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 7, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2, 5, 2, 3, 2, 3, 2 (list; graph; listen)
OFFSET

3,2

LINKS

B. Poonen and M Rubinstein, The Number of Intersection Points Made by the Diagonals of a Regular Polygon, 1995.

Sequences formed by drawing all diagonals in regular polygon

FORMULA

Starting at a(5) = 2, sequence is periodic with period 30.

EXAMPLE

In a 30-gon, there are non-center points where 7 diagonals meet, but no more than 7. Hence a(30) = 7.

CROSSREFS

Sequence in context: A155679 A159580 A021448 this_sequence A133501 A124316 A061034

Adjacent sequences: A108050 A108051 A108052 this_sequence A108054 A108055 A108056

KEYWORD

easy,nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net), Jun 01 2005

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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