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On power values of pyramidal numbers, I

On power values of pyramidal numbers, I

For m ≥ 3, the mth order pyramidal number is defined by x(x + 1)((m-2)x+5-m)/6.These combinatorial numbers play an important role in number theory and discrete mathematics.For m = 3 and 4, all the power values of these polynomials have been already found.In the present paper the authors deal with …