Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 573-577.

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Some Alternating Double Binomial Sums

  

  1. 1. Department of Mathematics, Hangzhou Normal University2. School of Computing Science, Zhejiang University City College
  • Received:2012-03-03 Online:2013-12-30 Published:2023-02-17
  • About author:ZHENG De-yin(1963-), male, native of Nanyang, Henan, an associate professor of Hangzhou Normal University, Ph.D., engages in combinatorics and hypergeometric series; TANG Pei-pei(1982-), female, native of Yongjia, Zhejiang, a lecturer of Zhejiang University City College, Ph.D., engages in combinatorics and hypergeometric series(corresponding author).
  • Supported by:
    Supported by the Natural Science Foundation of Zhejiang Province(Y7080320,LY12A01030); Supported by the National Natural Science Foundation of China(11226297); Supported by the Zhejiang Univesrity City College Scientific Research Foundation(J-13003)

Abstract: We consider some new alternating double binomial sums. By using the Lagrange inversion formula, we obtain explicit expressions of the desired results which are related to a third-order linear recursive sequence. Furthermore, their recursive relation and generating functions are obtained.


Key words: alternating double binomial sum, Lagrange inversion formula, Fibonacci number

CLC Number: