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ON A COMBINATORIAL PROOF FOR AN IDENTITY INVOLVING THE TRIANGULAR NUMBERS

  • JOSE PLÍNIO O. SANTOS (a1) and ROBSON DA SILVA (a2)

Abstract

In this paper, we present a combinatorial proof for an identity involving the triangular numbers. The proof resembles Franklin’s proof of Euler’s pentagonal number theorem.

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Copyright

Corresponding author

For correspondence; e-mail: rsilva@unifei.edu.br

References

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[1]Andrews, G. E., ‘Enumerative proofs of certain q-identities’, Glasg. Math. J. 8 (1967), 3340.
[2]Andrews, G. E., The Theory of Partitions, Encyclopedia of Mathematics and its Applications, 2 (ed. Rota, G.-C.) (Addison-Wesley, Reading, MA, 1976).
[3]Brietzke, E. H. M., Santos, J. P. O. and Silva, R., ‘Bijective proofs using two-line matrix representations for partitions’, Ramanujan J., accepted.
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ON A COMBINATORIAL PROOF FOR AN IDENTITY INVOLVING THE TRIANGULAR NUMBERS

  • JOSE PLÍNIO O. SANTOS (a1) and ROBSON DA SILVA (a2)

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