Combinatorial remarks about a "remarkable identity"

Jørn B. Olsson, James Allen Sellers

Research output: Contribution to journalArticle

Abstract

In the June 2012 issue of this Magazine, Frumosu and Teodorescu-Frumosu proved that, for all integers m ≥ 2, where the inner sum is taken over all p-term ordered partitions of m. Their proof is calculus-based, relying on power series manipulations. In this note, we provide a combinatorial proof of this identity (which they requested at the end of their article) and we use the insights gained via this argument to prove other results of a similar type.

Original languageEnglish (US)
Pages (from-to)283-288
Number of pages6
JournalMathematics Magazine
Volume85
Issue number4
DOIs
StatePublished - 2012

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Power series
Manipulation
Calculus
Partition
Integer
Term

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Olsson, Jørn B. ; Sellers, James Allen. / Combinatorial remarks about a "remarkable identity". In: Mathematics Magazine. 2012 ; Vol. 85, No. 4. pp. 283-288.
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Combinatorial remarks about a "remarkable identity". / Olsson, Jørn B.; Sellers, James Allen.

In: Mathematics Magazine, Vol. 85, No. 4, 2012, p. 283-288.

Research output: Contribution to journalArticle

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