Journal of Integer Sequences, Vol. 21 (2018), Article 18.8.7

A Method For Examining Divisibility Properties Of Some Binomial Sums

Jovan Mikić
J.U. SŠC "Jovan Cvijić"
74480 Modriča
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.

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(Concerned with sequences A006480.)

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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