Numbers Simultaneously Polygonal and Centered Polygonal

• Autores: Steven J. Schlicker
• Localización: Mathematics magazine, ISSN 0025-570X, Vol. 84, Nº. 5, 2011, págs. 339-350
• Idioma: inglés
• DOI: 10.4169/math.mag.84.5.339
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• Resumen

  • 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.