Journal of Integer Sequences, Vol. 20 (2017), Article 17.1.3

Summations in Bernoulli's Triangles via Generating Functions


Kamilla Oliver
9 Stellenberg Road
7130 Somerset West
South Africa

Helmut Prodinger
Department of Mathematical Sciences
Stellenbosch University
7602 Stellenbosch
South Africa

Abstract:

We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper in this journal.

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(Concerned with sequence A000108.)

Received November 12 2016. Revised version received December 25 2016. Published in Journal of Integer Sequences, December 26 2016.

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