Basic Properties of the Polygonal Sequence
Keyword(s):
We study various properties of the polygonal numbers; such as their recurrence relations; fundamental identities; weighted binomial and ordinary sums; partial sums and generating functions of their powers; and a continued fraction representation for them. 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; unlike what obtains in most literature.
Keyword(s):
2018 ◽
Vol 12
(1)
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pp. 178-191
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Keyword(s):
1997 ◽
Vol 20
(4)
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pp. 759-768
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Keyword(s):
1988 ◽
Vol 31
(3)
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pp. 257-271
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