ALTERNATING CIRCULAR SUMS OF BINOMIAL COEFFICIENTS

被引：0
|
作者：
Chu, Wenchang [1 ,2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou, Henan, Peoples R China
[2] Univ Salento, Dept Math & Phys, POB 193, I-73100 Lecce, Italy
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 106卷 / 03期
关键词：
circular sum; generating function; binomial coefficient; Lucas number; Fibonacci number; Lagrange expansion formula;
D O I：
10.1017/S0004972722000351
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By combining the generating function approach with the Lagrange expansion formula, we evaluate, in closed form, two multiple alternating sums of binomial coefficients, which can be regarded as alternating counterparts of the circular sum evaluation discovered by Carlitz ['The characteristic polynomial of a certain matrix of binomial coefficients', Fibonacci Quart. 3(2) (1965), 81-89].
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页码：385 / 395
页数：11
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