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Numbers Simultaneously Polygonal and Centered Polygonal
Steven J. Schlicker
Vol. 84, No. 5 (December 2011), pp. 339-350
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/math.mag.84.5.339
Page Count: 12
You can always find the topics here!Topics: Integers, Mathematical sequences, Numbers, Polygons, Squares, Mathematical tables, Linear algebra, Partial sums, Mathematical problems
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Summary The study of polygonal numbers (triangular, square, etc.) has a long and rich history. Similar, but lesser known, are the centered polygonal numbers which have not been as extensively studied. These sequences of figurate numbers contain a wealth of interesting and fun mathematics. As an example, we make connections between the polygonal and centered polygonal numbers to find a previously unknown family of integer sequences that describe those numbers that are simultaneously polygonal and centered polygonal for the same number of sides.
Copyright the Mathematical Association of America 2011