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Mathematics Magazine Volume 83, 2010 - Issue 5
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NOTES

Sums of Evenly Spaced Binomial Coefficients

Arthur T. BenjaminHarvey Mudd CollegeClaremont, [email protected]
,
Bob ChenHarvey Mudd CollegeClaremont, [email protected]
&
Kimberly KindredHarvey Mudd CollegeClaremont, [email protected]
Pages 370-373 | Published online: 22 Dec 2017
 

Summary

We provide a combinatorial proof of a formula for the sum of evenly spaced binomial coefficients, . This identity, along with a generalization, are proved by counting weighted walks on a graph.

This article is part of the following collections:
Undergraduate Student Research and/or Student Co-Authored Articles

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