Generalizations of Some Formulas of the Reciprocal Sum and Alternating Sum for Generalized Lucas Numbers

Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (1): 99-103.

Generalizations of Some Formulas of the Reciprocal Sum and Alternating Sum for Generalized Lucas Numbers

Department of Mathematics,Luoyang Normal University,Luoyang 471022,China

Received:2004-12-15 Online:2007-03-30 Published:2023-11-15
About author:YE Xiao-li(1965-),female,native of Luoyang,Henan,a lecture of Luoyang Normal University, engages in combinatorial mathematics.
Supported by:
Supported by the Natural Science Foundation of the Education Department of Henan Province(2003110009)；

Abstract

Abstract: The purpose of this article is to provide the inversion relationships between the reciprocal sum S(1,2,…,m) and the alternating sum T(1,2,…,m) for generalized Lucas numbers which generalizes the Melham’s results.

Key words: generalized , Lucas , numbers, reciprocal , , sum, alternating , , sum

CLC Number:

O156

YE Xiao-li, LIU Mai-xue. Generalizations of Some Formulas of the Reciprocal Sum and Alternating Sum for Generalized Lucas Numbers[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 99-103.

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Generalizations of Some Formulas of the Reciprocal Sum and Alternating Sum for Generalized Lucas Numbers

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