Some Notes on Alternating Power Sums of Arithmetic Progressions
Institute of Mathematics
University of Debrecen
MTA-DE Research Group "Equations Functions and Curves"
Hungarian Academy of Sciences and University of Debrecen
P. O. Box 400
Department of Mathematics
Nanjing University of Information Science and Technology
No. 219 Ningliu Rd.
Pukou, Nanjing, Jiangsu
We show that the alternating power sum
can be expressed in terms of Stirling numbers of the first kind and r
-Whitney numbers of the second kind. We also prove a necessary and sufficient condition for the integrality of the coefficients of the polynomial extensions of the above alternating power sum.
Full version: pdf,
(Concerned with sequence
April 25 2017;
revised versions received May 1 2017; September 3 2018; September 4 2018.
Published in Journal of Integer Sequences, September 9 2018.
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