Numbers Simultaneously Polygonal and Centered Polygonal

Numbers Simultaneously Polygonal and Centered Polygonal

  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, w...

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Veröffentlicht in:Mathematics magazine 2011-12, p.1
1. Verfasser: Schlicker, Steven J
Format: Magazinearticle
Sprache:eng
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Numbers
Polygons
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description   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. [PUBLICATION ABSTRACT]
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source Jstor Complete Legacy; Alma/SFX Local Collection; JSTOR Mathematics & Statistics
subjects Numbers
Polygons
title Numbers Simultaneously Polygonal and Centered Polygonal
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