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A061289 Consider a network of triangles consisting of an equilateral triangle divided into n^2 equilateral triangles plus a circle connecting the vertices of the main triangle. Sequence gives minimal number of corner turns required to trace the network in one continuous line. +0
1
3, 7, 13, 17, 20, 23 (list; graph; listen)
OFFSET

1,1

REFERENCES

Martin Gardner, More Mathematical Puzzles and Diversions, page 63, "a network tracing puzzle".

EXAMPLE

a(1)=3 since you have to make two turns to trace the triangle and one to cover the circular part of the network.

CROSSREFS

Sequence in context: A067073 A124273 A038923 this_sequence A063226 A063239 A040106

Adjacent sequences: A061286 A061287 A061288 this_sequence A061290 A061291 A061292

KEYWORD

hard,nonn

AUTHOR

Brian Wallace (wallacebrianedward(AT)yahoo.co.uk), May 22 2001

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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