Rui Duarte

activity

20062023

most citedBetween Ish and Shi

6 citations · 22 across the 13 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.CO2013★ 2 cited

A short proof of a famous combinatorial identity

Rui Duarte, António Guedes de Oliveira

We explain how the identity $i + j = n \sum (i 2 i) (j 2 j) = 4^{n}$ is an easy consequence of the inclusion-exclusion principle.

math.CO2013

Short note on the convolution of binomial coefficients

Rui Duarte, António Guedes de Oliveira

We know [Rui Duarte and António Guedes de Oliveira, New developments of an old identity, manuscript arXiv:1203.5424, submitted.] that, for every non-negative integer numbers $n,i,j…