Journal of Integer Sequences, Vol. 19 (2016), Article 16.8.3

Links Between Sums Over Paths in Bernoulli's Triangles and the Fibonacci Numbers


Denis Neiter and Amsha Proag
École Polytechnique
Route de Saclay
91128 Palaiseau
France

Abstract:

We investigate paths in Bernoulli's triangles, and derive several relations linking the partial sums of binomial coefficients to the Fibonacci numbers.

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(Concerned with sequences A000045 A000930 A003269 A003520 A005251 A005314 A008949 A027934 A099568 A138653 A193605.)

Received June 10 2016; revised version received September 23 2016; October 5 2016. Published in Journal of Integer Sequences, October 10 2016.

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