Basic Properties of the Polygonal Sequence
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We study various properties of the polygonal numbers; such as their recurrence relations, fundamental identities, weighted binomial and ordinary sums and the partial sums and generating functions of their powers. A feature of our results is that they are presented naturally in terms of the polygonal numbers themselves and not in terms of arbitrary integers as is the case in most literature.
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2018 ◽
Vol 12
(1)
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pp. 178-191
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1997 ◽
Vol 20
(4)
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pp. 759-768
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1988 ◽
Vol 31
(3)
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pp. 257-271
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2013 ◽
Vol 97
(538)
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pp. 53-60
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