Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 60-64.

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Two Sums for a Class of Recurrence Sequences 

  

  1. 1. Shangqiu Vocational and Technical College2. College of Mathematics and Science, Luoyang Teachers' College
  • Received:2008-06-23 Online:2010-03-30 Published:2023-06-09
  • About author: PANG Jin-li(1969- ), female, native of Minquan, Henan, an associate professor of Shangqiu Vocational and Technical College, engages in theory of functions; YE Xiao-li(1965- ), female, native of Luoyang, Henan, an associate professor of Luoyang Teachers’ College, engages in combinatorics and q-series.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10771093);

Abstract: A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article. Several positive results on Vn+s2k +...Un+s2k are achieved which generalize existed results on Vn+12-...Un+12.

Key words: recurrence sequence, generating function, differentiation

CLC Number: