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- W4300571326 abstract "We prove the following conjecture of Zeilberger. Denoting by $C_n$ the Catalan number, define inductively $A_n$ by $(-1)^{n-1}A_n=C_n+sum_{j=1}^{n-1} (-1)^{j} binom{2n-1}{2j-1} A_j ,C_{n-j}$ and $a_n=2A_n/C_n$. Then $a_n$ (hence $A_n$) is a positive integer." @default.
- W4300571326 created "2022-10-03" @default.
- W4300571326 creator A5061821788 @default.
- W4300571326 date "2010-09-21" @default.
- W4300571326 modified "2023-09-25" @default.
- W4300571326 title "Two integer sequences related to Catalan numbers" @default.
- W4300571326 doi "https://doi.org/10.48550/arxiv.1009.4225" @default.
- W4300571326 hasPublicationYear "2010" @default.
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