

A157650


Number of minimum geometric construction etches with compass of fixed opening and straightedge to find the centroid of n points.


0



0, 4, 9, 12, 19, 21, 28, 28, 36, 38, 46, 45
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OFFSET

1,2


REFERENCES

Archimedes, On the equilibrium of planes, 287 BC212 BC (Proposition 4, Book I).
Jason E. Shields, Archimedes Lemma Variation, February 13, 2009 (unpublished).


LINKS

Table of n, a(n) for n=1..12.
Tom A. Apostol and Mamikon A. Mnastakanian, Finding Centroids The Easy Way, Math Horizons, September (2000), 712.


EXAMPLE

For n=4, the minimum number of geometric etches to find the centroid of 4 points is 12 using a compass of fixed opening.


CROSSREFS

Sequence in context: A312865 A181023 A084789 * A312866 A312867 A312868
Adjacent sequences: A157647 A157648 A157649 * A157651 A157652 A157653


KEYWORD

nonn,more


AUTHOR

Jason E. Shields, Mar 03 2009, Mar 13 2009


STATUS

approved



