A Method For Examining Divisibility Properties Of Some Binomial Sums
J.U. SŠC "Jovan Cvijić"
Bosnia and Herzegovina
We introduce a notion that we call a "D sum" and use it to examine
the divisibility properties of some binomial sums. The method of D sums
consists of two theorems and their proofs. We present two applications
of our method to non-negative sums with absolute values. The third
application is for a known alternating binomial sum. In particular,
our method of D sums can be used to prove Dixon's formula.
Full version: pdf,
(Concerned with sequences
Received May 30 2018; revised versions received July 5 2018; September 29 2018; October 1
2018; October 7 2018.
Published in Journal of Integer Sequences, November 25 2018.
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