Journal of Integer Sequences, Vol. 20 (2017), Article 17.7.8

On the Binomial Interpolated Triangles

László Németh
Institute of Mathematics
University of Sopron
Bajcsy Zs. u. 4
H9400 Sopron


The binomial interpolated transform of a sequence is a generalization of the well-known binomial transform. We examine a Pascal-like triangle, on which a binomial interpolated transform works between the left and right diagonals, focusing on binary recurrences. We give the sums of the elements in rows and in rising diagonals, and we define two special classes of these arithmetical triangles.

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(Concerned with sequences A000027 A000032 A000045 A006190 A094727 A199512.)

Received April 5 2017; revised version received July 13 2017. Published in Journal of Integer Sequences, July 30 2017.

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