[seqfan] Trapezoidal area integers: overlooked types
Alonso Del Arte
alonso.delarte at gmail.com
Sat Aug 4 22:33:37 CEST 2012
Yesterday, Charles Greathouse pointed out to me that in A214602, I
completely overlooked right trapezoids, specifically those that can be
constructed from a triangle that corresponds to a Pythagorean triple and a
rectangle with a length or width equal to one of the shorter sides of the
triangle. The example he gave me has an area of 9 square units. This means
that every multiple of 3 greater than 6 is a term in the sequence per the
current definition. (Similarly, every number congruent to 2 mod 4 that is
greater than 6).
Have I overlooked any other kinds of trapezoids than can have integers for
area and all four sides? And if so, does this mean that almost all
composite numbers are in A214602?
Al
--
Alonso del Arte
Author at SmashWords.com<https://www.smashwords.com/profile/view/AlonsoDelarte>
Musician at ReverbNation.com <http://www.reverbnation.com/alonsodelarte>
More information about the SeqFan
mailing list