On proofs of certain combinatorial identities (Q2883394)
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scientific article; zbMATH DE number 6032403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On proofs of certain combinatorial identities |
scientific article; zbMATH DE number 6032403 |
Statements
10 May 2012
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combinatorial identity
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computer generated proof
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WZ method
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On proofs of certain combinatorial identities (English)
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The authors prove three combinatorial identities using both combinatorial proofs (involutions in some subsets of words) and WZ(Wilf-Zeilberger) method proofs. One of them is NEWLINE\[NEWLINE\sum _{k=0}^{n+1}(-1)^{n+k+1}{{n+k+1}\choose{2k}}2^{2k}=2n+3.NEWLINE\]NEWLINE Five other identities are deduced as corollaries.
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